Geometry of algebraic varieties (Q1246006)

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scientific article; zbMATH DE number 3583966

Language	Label	Description	Also known as
English	Geometry of algebraic varieties	scientific article; zbMATH DE number 3583966

Statements

scholarly article

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Geometry of algebraic varieties (English)

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V. A. Iskovskikh

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Igor V. Dolgachev

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Journal of Soviet Mathematics

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publication date

1976

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zbMATH Keywords

Bibliography

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MaRDI profile type

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Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces

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General form of linear operators commutative with the differentiation operator in spaces of analytic functions

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Sur une note de Mattuck-Tate.

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Nonsimplicity of the group of unimodular automorphisms of the affine plane

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Abstract algebraic geometry

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On compact complex analytic surfaces. I

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Lectures on Curves on an Algebraic Surface. (AM-59)

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The topology of normal singularities of an algebraic surface and a criterion for simplicity

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Rational surfaces over perfect fields

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Degenerate fibers of three-dimensional manifolds fibered into rational surfaces

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Singular Points of Complex Hypersurfaces. (AM-61)

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On rational surfaces I. Irreducible curves of arithmetic genus $0$ or $1$

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On rational surfaces, II

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Arithmetic on algebraic varieties

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Good reduction of abelian varieties

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Classification of vector bundles over an algebraic curve of arbitrary genus

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ON THE MOTIF OF A CUBIC HYPERSURFACE

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Double ruled surfaces and their canonical systems

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Canonical systems of double spaces.

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Algebraization of formal moduli. II: Existence of modifications

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Some Elementary Examples of Unirational Varieties Which are Not Rational

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Degenerate fibres and stable reduction of curves

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Riemann surfaces and spin structures

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On the moduli of Abelian varieties with multiplications

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On the compactification of arithmetically defined quotients of bounded symmetric domains

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Rationally trivial homogeneous principal fibrations of schemes

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On families of birationally equivalent varieties

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The Associative Law for Intersection Numbers

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Semi-regularity and de Rham cohomology

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The positivity of the Chern classes of an ample vector bundle

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The intersection multiplicity of a conneeted component

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Uniqueness conditions for certain holomorphic mappings

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Le théorème de Riemann-Roch

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A classification of rational quartic ruled surfaces

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A note on compactifications of \(C^2\)

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Monodromy of isolated singularities of hypersurfaces

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Forms of the rings <i>R</i>[<i>X</i>] and <i>R</i>[<i>X</i>, <i>Y</i>]

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On certain models for congruences of rational normal curves

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Zwei Sätze über monoidale Transformationen

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The splitting principle for Grothendieck rings of schemes

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Picard-Lefschetz Theorem for Families of Nonsingular Algebraic Varieties Acquiring Ordinary Singularities

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The intermediate Jacobian of the cubic threefold

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Les intersections complétes de niveau de Hodge un

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La conjecture de Weil pour les surfaces K3

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The irreducibility of the space of curves of a given genus

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Sui sistemi continui d’ipersuperficie effettive appartenenti ad una varieta’ algebrica non singolare

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Sous-groupes algébriques de rang maximum du groupe de Cremona

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The Historical Development of Algebraic Geometry

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On the purity of the degeneration loci of families of curves

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The Lefschetz-Riemann-Roch formula

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Rational Surfaces with Exceptional Unodes

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The Curve of Genus 2 with Reducible Integrals

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Note on parametrisations of normal elliptic scrolls

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A Canonical Curve of Genus 7

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Three Plane Sextics and their Automorphisms

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A New Look at the Kummer Surface

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THETA CONSTANTS, MODULI, AND COMPACT RIEMANN SURFACES

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Special Divisors on Compact Riemann Surfaces

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Weierstrass Points and Analytic Submanifolds of Teichmueller Space

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Special Divisors and Analytic Subloci of Teichmueller Space

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Abelian Differentials with Double Zeros

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Period relations of Schottky type on Riemann surfaces

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Theta functions on Riemann surfaces

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On the Specialization of Birationally Equivalent Curves

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Algebraic Families on an Algebraic Surface

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Serre sequences and Chern classes

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Hurwitz schemes and irreducibility of moduli of algebraic curves

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Un’osservazione sulla varietá cubica diP 4

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P-Ample Bundles and Their Chern Classes

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Stable vector bundles and the frobenius morphism

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Recherches sur les surfaces non rationnelles de genres geométrique et arithmétique nuls

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Sur les surfaces algébriques contenant une involution cubique cyclique. (On the algebraic surfaces containing a cyclic cubic involution)

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Sur les variétés algébriques à trois dimensions de genre geoetrique zéro et de bigenre un

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Variétés algébriques non rationnelles depourvues de variété canonique

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Affine open subsets of algebraic varieties and ample divisors

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Varieties proper over affine schemes

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Characterization and algebraic deformations of projective space

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THE RESIDUE CALCULUS AND SOME TRANSCENDENTAL RESULTS IN ALGEBRAIC GEOMETRY, I

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THE RESIDUE CALCULUS AND SOME TRANSCENDENTAL RESULTS IN ALGEBRAIC GEOMETRY, II

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SOME REMARKS ON AUTOMORPHISMS, ANALYTIC BUNDLES, AND EMBEDDINGS OF COMPLEX ALGEBRAIC VARIETIES

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On the periods of certain rational integrals. I, II

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Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)

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Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)

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Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping

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Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems

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Complex-analytic properties of certain Zariski open sets on algebraic varieties

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Function theory of finite order on algebraic varieties. I(B)

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Über Veronesesche Varietäten und deren Projektionen

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La théorie des classes de Chern

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On the De Rham cohomology of algebraic varieties

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Un théorème sur les homomorphismes de schemas abeliens

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Hodge's general conjecture is false for trivial reasons

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Some special complex vector bundles over Jacobi varieties

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Non-hyperelliptic Riemann surfaces

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The Hilbert modular surface of a real quadratic field

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Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili

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Curves with high self-intersection on algebraic surfaces

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Ample Vector Bundles on Curves

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Ample vector bundles

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CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE

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Existence of curves of genus two on a product of two elliptic curves

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Zur algebraischen Theorie der Spezialisierungen

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The Minimum Model of Spaces on a Quadric

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Resolution of singularities of an algebraic variety over a field of characteristic zero. I

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An example of a non-Kählerian complex-analytic deformation of Kählerian complex structures

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Smoothing of Algebraic Cycles of Small Dimensions

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Hilbert modular surfaces and the classification of algebraic surfaces

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Grassmannians and their Schubert subvarieties are arithmetically Cohen- Macaulay

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A note on a paper of Farkas

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Vector Bundles on the Punctured Spectrum of a Local Ring

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A construction for locally free sheaves

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ON EXTENDING VECTOR BUNDLES OVER PROJECTIVE SPACE

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Birationally Ruled Surfaces without Embeddings in Regular Schemes

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A rank 2 vector bundle on P\(^4\) with 15,000 symmetries

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On products and algebraic families of Jacobian varieties

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Reducibility of the families of O-dimensional schemes on a variety

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An algebraic fibre bundle over P\(_1\) that is not a vector bundle

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On Siegel Modular Forms of Genus Two

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Abstract vanishing cycle theory

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Arithmetic variety of moduli for genus two

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On the Graded Ring of Theta-Constants

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On the Graded Ring of Theta-Constants (II)

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A desingularization problem in the theory of Siegel modular functions

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On $D$-dimensions of algebraic varieties

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On algebraic varieties whose universal covering manifolds are complex affine 3-spaces

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Deformations of compact complex surfaces. II

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Deformations of compact complex surfaces. III

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On some new birational invariants of algebraic varieties, and their application to rationality of certain algebraic varieties of dimension 3

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Critical points of an algebraic function

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Numerical Invariants and Multiple Planes

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On the exceptional tangents to a smooth, plane curve

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Riemann-Roch sans denominateurs

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Invariant subfields of rational function fields

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ON OBSTRUCTIONS TO DEFORMATIONS OF COMPLEX ANALYTIC SURFACES

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On Deformations of a Certain Type of Irregular Algebraic Surface

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Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin

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Eine Bemerkung zu einer Arbeit von Max Noether

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On the geometry of a theorem of Riemann

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Automorphism Groups on Compact Riemann Surfaces

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Ample Vector Bundles on Algebraic Surfaces

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Geometry on Grassmannians and applications to splitting bundles and smoothing cycles

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Completeness of the characteristic system

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Schubert Calculus

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On the Existence of Special Divisors

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A Classification of the Cycles on an Abelian Variety

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On General Riemann Matrices and Their Attached Abelian Varieties

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Primals Passing Multiply Through Elliptic Normal Curves

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On Characteristic Systems of Families of Surfaces with Ordinary Singularities in a Projective Space

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PLURICANONICAL SYSTEMS ON ALGEBRAIC SURFACES OF GENERAL TYPE

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Pluricanonical systems on algebraic surfaces of general type

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A theorem of completeness for analytic systems of surfaces with ordinary singularities

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On compact analytic surfaces. II

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On compact analytic surfaces. III

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On the Structure of Compact Complex Analytic Surfaces, I

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On the Structure of Compact Complex Analytic Surfaces, II

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A certain type of irregular algebraic surfaces

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On the Structure of Complex Analytic Surfaces, IV

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On deformations of complex analytic structures. I

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On deformations of complex analytic structures. II

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Existence of complex structure on a differentiable family of deformations of compact complex manifolds

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The Fields of Moduli for Polarized Abelian Varieties and for Curves

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Abelian varieties attached to polarized \(K_3\)-surfaces

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Die Struktur von algebraischen Vektorbündeln über Regelflächen

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Algebraic cycles on Grassmann varieties

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On the Picard-Lefschetz Transformation for Algebraic Manifolds Acquiring General Singularities

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The Early Development of Algebraic Geometry

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A page of mathematical autobiography

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Riemann surfaces and the theta function

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Curves Over Discrete Valuation Rings

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Numerical and Homological Equivalence of Algebraic Cycles on Hodge Manifolds

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Higher Picard Varieties

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Severi's Conjecture on 0-Cycles for a Complete Intersection.

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On a Conjecture of Andre Weil

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On a Curve of Genus 7

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A Bound for the Number of Automorphisms of a Compact Riemann Surface

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SMOOTH COVERINGS OF HYPERELLIPTIC SURFACES

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Modulus Space is Simply-Connected

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On a Generalization of Igusa Duality

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Hypersurfaces cubiques. II: Automorphismes birationels en dimension deux

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An Extended Torelli Theorem

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On the varieties of special divisors on a curve.

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Varieties of special divisors on a curve. II.

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On the partial derivatives of thetafunctions

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On automorphism groups of ruled surfaces

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Varieta algebriche \(h\)-simmetriche di rette in \(S_ n\)

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On purely-transcendency of certain fields

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On the automorphisms of hypersurfaces

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Polarized Varieties with a Given Hilbert Polynomial

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Algebraic Deformations of Polarized Varieties

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On Canonically Polarized Varieties (II)

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Two Fundamental Theorems on Deformations of Polarized Varieties

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On the Symmetric Product of a Rational Surface

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Complete Ideals and Monoidal Transforms

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Secant Bundles on Symmetric Products

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Ruled surfaces and the Albanese mapping

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Special divisors and the Jacobian variety

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Rauch's variational formula and the heat equation

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A Note on Weierstrass Points

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Fixed Points of Automorphisms of Compact Riemann Surfaces

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For a nonclosing field, every algebraic variety is a hypersurface, or all of space

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Chern classes and projective geometry

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On the equations defining Abelian varieties. I-III

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Theta characteristics of an algebraic curve

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Further Pathologies in Algebraic Geometry

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Periods of a Moduli Space of Bundles on Curves

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Vector bundles over affine surfaces birationally equivalent to a ruled surface

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A theorem of Gutwirth

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On Self-Intersection Number of a Section on a Ruled Surface

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Note on the structure of a ruled surface.

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The complete classification of fibres in pencils of curves of genus two

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On geometrical classification of fibers in pencils of curves of genus two

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Moduli of vector bundles on a compact Riemann surface

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Holomorphic vector bundles on a compact Riemann surface

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STABLE BUNDLES AND UNITARY BUNDLES ON A COMPACT RIEMANN SURFACE

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Stable and unitary vector bundles on a compact Riemann surface

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A Non-Existence Theorem for Families of Stable Bundles

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Stable bundles of rank 2 and odd degree over a curve of genus 2

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Characteristic Classes of Stable Bundles of Rank 2 Over an Algebraic Curve

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A Note on Quadratic Complexes

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Vector Bundles on an Elliptic Curve

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Vector bundles on Abelian surfaces

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Cohomology of abelian varieties over function fields

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On pencils of curves of genus two

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Algebraic cones with linear vertex

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On higher order Weierstrass points

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Algebraic cycles on abelian varieties of complex multiplication type

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Über das Verhalten des Geschlechts eines Funktionenkörpers einer Variablen bei Konstantenreduktion

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The singularities of the moduli schemes of curves

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On a conjecture of H. Rauch on theta constants and Riemann surfaces with many automorphisms.

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Stratifikation von Quotientenmannigfaltigkeiten (in Charakteristik 0) und insbesondere der Modulmannigfaltigkeiten für Kurven.

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On moduli of algebraic varieties. I

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Alcuni recenti risultati relativi al corpo delle funzioni razionali sopra una varieta’ algebrica

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The moduli space of vector bundles over an algebraic curve

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Holomorphic vector bundles on homogeneous spaces

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A note on automorphism groups of algebraic varieties

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On a geometric interpretation of multiplicity

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Spécialisation du foncteur de Picard

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Critères de platitude et de projectivité. Techniques de ''platification'' d'un module. (Criterial of flatness and projectivity. Technics of ''flatification of a module.)

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A note on fractional intersection multiplicities

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Intersection Theory on a Singular Algebraic Surface-Addendum

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The Surface of <i>S</i> <sub>4</sub> Generated by the Rational Normal Quartic Curves which Touch Four Given Lines

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Über unirationale Schalen auf algebraischen Mannigfaltigkeiten

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On a theorem of Severi on unirational systems on algebraic varieties

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Über die Verallgemeinerung eines Satzes von Bertini auf eindimensionale unirationale Scharen

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The Variation of Singular Cycles in an Algebraic Family of Morphisms

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Sulle varieta abeliane

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On Petri's analysis of the linear system of quadrics through a canonical curve

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Variation of Hodge structure: The singularities of the period mapping

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The Secant Bundle of a Projective Variety

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Jacobians and symmetric products

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Vector Bundles on the Projective Plane

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Vector Bundles on Algebraic Surfaces

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Natural Lifts and the Covariant Systems of Todd

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An idea of Beniamino Segre

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Su certe varietà algebriche intersezioni di quadriche od a sezioni curvilinee normali

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Variazione continua ed omotopia in geometria algebrica

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The <i>T</i> <sub>2,4</sub> of <i>S</i> <sub>6</sub> Defined by a Rational Surface <sup>3</sup> <i>F</i> <sup>8</sup>

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Specialization of Cremona transformations

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The Cremona transformation of <i>S</i> <sub>6</sub> by quadrics through a normal elliptic septimic scroll <sup>1</sup> <i>R</i> <sup>7</sup>

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On the Fundamental Group of a Unirational Variety

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Groupes de Grothendieck des schemas en groupes reductifs deployes

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Space of unitary vector bundles on a compact Riemann surface

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Quotient spaces modulo reductive algebraic groups

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Lectures on minimal models and birational transformations of two dimensional schemes

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On the Graded Ring of Invariants of Binary Octavics

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Elliptic modular surfaces, I

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On elliptic modular surfaces

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Über die kritischen Werte gewisser holomorpher Abbildungen

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A class of indecomposable algebraic vector bundles

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On ruled surfaces of genus 1

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The birationality of cubic surfaces over a given field

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Stable Vector Bundles on Algebraic Surfaces

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On the Behavior of Extensions of Vector Bundles Under the Frobenius Map

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On Kodaira dimensions of certain algebraic varieties

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Fibrés vectoriels positifs sur une courbe elliptique

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ON THE CHERN NUMBERS OF CERTAIN COMPLEX AND ALMOST COMPLEX MANIFOLDS

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On uniform vector bundles

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The foundation of algebraic geometry from Severi to Andre Weil

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The foundation of algebraic geometry

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Rational sections and Chern classes of vector bundles

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An introduction to the theory of algebraic surfaces.

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The Problem of Minimal Models in the Theory of Algebraic Surfaces

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On Castelnuovo's criterion of rationality P\(_a\)=P\(_2\)=0 of an algebraic surface

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The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface

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full work available at URL

https://doi.org/10.1007/bf01085150

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zbMATH Open document ID

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10.1007/BF01085150

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:1246006

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