Geometry of algebraic varieties
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Publication:1246006
DOI10.1007/BF01085150zbMath0375.14001OpenAlexW2044242369MaRDI QIDQ1246006
V. A. Iskovskikh, Igor V. Dolgachev
Publication date: 1976
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01085150
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Relevant commutative algebra (14A05) (Co)homology theory in algebraic geometry (14F99) Birational geometry (14E99) Cycles and subschemes (14C99)
Cites Work
- The intermediate Jacobian of the cubic threefold
- On the periods of certain rational integrals. I, II
- On uniform vector bundles
- Vector bundles on Abelian surfaces
- Les intersections complétes de niveau de Hodge un
- Rational sections and Chern classes of vector bundles
- La conjecture de Weil pour les surfaces K3
- On the equations defining Abelian varieties. I-III
- Deformations of compact complex surfaces. III
- Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
- Complex-analytic properties of certain Zariski open sets on algebraic varieties
- Abelian varieties attached to polarized \(K_3\)-surfaces
- Critical points of an algebraic function
- The birationality of cubic surfaces over a given field
- Sur les surfaces algébriques contenant une involution cubique cyclique. (On the algebraic surfaces containing a cyclic cubic involution)
- On elliptic modular surfaces
- The foundation of algebraic geometry from Severi to Andre Weil
- Reducibility of the families of O-dimensional schemes on a variety
- Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
- On the exceptional tangents to a smooth, plane curve
- On higher order Weierstrass points
- The Hilbert modular surface of a real quadratic field
- On some new birational invariants of algebraic varieties, and their application to rationality of certain algebraic varieties of dimension 3
- On families of birationally equivalent varieties
- The moduli space of vector bundles over an algebraic curve
- Quotient spaces modulo reductive algebraic groups
- Algebraic cycles on Grassmann varieties
- Semi-regularity and de Rham cohomology
- A rank 2 vector bundle on P\(^4\) with 15,000 symmetries
- Grassmannians and their Schubert subvarieties are arithmetically Cohen- Macaulay
- A classification of rational quartic ruled surfaces
- The complete classification of fibres in pencils of curves of genus two
- On a geometric interpretation of multiplicity
- Completeness of the characteristic system
- A note on compactifications of \(C^2\)
- Chern classes and projective geometry
- Function theory of finite order on algebraic varieties. I(B)
- On compact analytic surfaces. II
- A note on automorphism groups of algebraic varieties
- Cohomology of abelian varieties over function fields
- Holomorphic vector bundles on a compact Riemann surface
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Arithmetic variety of moduli for genus two
- Jacobians and symmetric products
- Schubert Calculus
- Sur une note de Mattuck-Tate.
- The Problem of Minimal Models in the Theory of Algebraic Surfaces
- Le théorème de Riemann-Roch
- La théorie des classes de Chern
- On the Fundamental Group of a Unirational Variety
- On rational surfaces I. Irreducible curves of arithmetic genus $0$ or $1$
- On rational surfaces, II
- Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces
- An idea of Beniamino Segre
- Forms of the rings R[X and R[X, Y]]
- Stable vector bundles and the frobenius morphism
- On algebraic varieties whose universal covering manifolds are complex affine 3-spaces
- On a Generalization of Igusa Duality
- On the Picard-Lefschetz Transformation for Algebraic Manifolds Acquiring General Singularities
- Vector Bundles on the Punctured Spectrum of a Local Ring
- Two Fundamental Theorems on Deformations of Polarized Varieties
- On Siegel Modular Forms of Genus Two
- On the Structure of Compact Complex Analytic Surfaces, I
- An Extended Torelli Theorem
- A Classification of the Cycles on an Abelian Variety
- An algebraic fibre bundle over P\(_1\) that is not a vector bundle
- On the partial derivatives of thetafunctions
- On Castelnuovo's criterion of rationality P\(_a\)=P\(_2\)=0 of an algebraic surface
- A note on fractional intersection multiplicities
- On compact complex analytic surfaces. I
- Variazione continua ed omotopia in geometria algebrica
- An example of a non-Kählerian complex-analytic deformation of Kählerian complex structures
- The topology of normal singularities of an algebraic surface and a criterion for simplicity
- Hilbert modular surfaces and the classification of algebraic surfaces
- Varieties proper over affine schemes
- Nonsimplicity of the group of unimodular automorphisms of the affine plane
- On Petri's analysis of the linear system of quadrics through a canonical curve
- Variation of Hodge structure: The singularities of the period mapping
- On moduli of algebraic varieties. I
- Theta functions on Riemann surfaces
- General form of linear operators commutative with the differentiation operator in spaces of analytic functions
- Abstract algebraic geometry
- On deformations of complex analytic structures. II
- On the geometry of a theorem of Riemann
- Some special complex vector bundles over Jacobi varieties
- Existence of complex structure on a differentiable family of deformations of compact complex manifolds
- The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
- Riemann surfaces and the theta function
- On deformations of complex analytic structures. I
- Eine Bemerkung zu einer Arbeit von Max Noether
- Existence of curves of genus two on a product of two elliptic curves
- On purely-transcendency of certain fields
- Über Veronesesche Varietäten und deren Projektionen
- Recherches sur les surfaces non rationnelles de genres geométrique et arithmétique nuls
- Holomorphic vector bundles on homogeneous spaces
- Zur algebraischen Theorie der Spezialisierungen
- On the automorphisms of hypersurfaces
- Special divisors and the Jacobian variety
- A desingularization problem in the theory of Siegel modular functions
- On pencils of curves of genus two
- Uniqueness conditions for certain holomorphic mappings
- Varieta algebriche \(h\)-simmetriche di rette in \(S_ n\)
- Un théorème sur les homomorphismes de schemas abeliens
- On the moduli of Abelian varieties with multiplications
- The intersection multiplicity of a conneeted component
- On certain models for congruences of rational normal curves
- Über die Verallgemeinerung eines Satzes von Bertini auf eindimensionale unirationale Scharen
- On products and algebraic families of Jacobian varieties
- Sur les variétés algébriques à trois dimensions de genre geoetrique zéro et de bigenre un
- Pluricanonical systems on algebraic surfaces of general type
- Rauch's variational formula and the heat equation
- Affine open subsets of algebraic varieties and ample divisors
- A construction for locally free sheaves
- Lectures on minimal models and birational transformations of two dimensional schemes
- Stable and unitary vector bundles on a compact Riemann surface
- On compact analytic surfaces. III
- Rational surfaces over perfect fields
- A certain type of irregular algebraic surfaces
- Good reduction of abelian varieties
- Space of unitary vector bundles on a compact Riemann surface
- Ample vector bundles
- Stable bundles of rank 2 and odd degree over a curve of genus 2
- The singularities of the moduli schemes of curves
- An introduction to the theory of algebraic surfaces.
- Hodge's general conjecture is false for trivial reasons
- Algebraization of formal moduli. II: Existence of modifications
- Über das Verhalten des Geschlechts eines Funktionenkörpers einer Variablen bei Konstantenreduktion
- On ruled surfaces of genus 1
- On the purity of the degeneration loci of families of curves
- Algebraic cones with linear vertex
- Serre sequences and Chern classes
- Double ruled surfaces and their canonical systems
- The irreducibility of the space of curves of a given genus
- Variétés algébriques non rationnelles depourvues de variété canonique
- Vector bundles over affine surfaces birationally equivalent to a ruled surface
- Monodromy of isolated singularities of hypersurfaces
- Moduli of vector bundles on a compact Riemann surface
- Deformations of compact complex surfaces. II
- Hypersurfaces cubiques. II: Automorphismes birationels en dimension deux
- A theorem of completeness for analytic systems of surfaces with ordinary singularities
- The splitting principle for Grothendieck rings of schemes
- Hurwitz schemes and irreducibility of moduli of algebraic curves
- Groupes de Grothendieck des schemas en groupes reductifs deployes
- Degenerate fibres and stable reduction of curves
- Über unirationale Schalen auf algebraischen Mannigfaltigkeiten
- On a theorem of Severi on unirational systems on algebraic varieties
- Curves with high self-intersection on algebraic surfaces
- Riemann-Roch sans denominateurs
- Über die kritischen Werte gewisser holomorpher Abbildungen
- Algebraic cycles on abelian varieties of complex multiplication type
- Su certe varietà algebriche intersezioni di quadriche od a sezioni curvilinee normali
- Period relations of Schottky type on Riemann surfaces
- A class of indecomposable algebraic vector bundles
- Non-hyperelliptic Riemann surfaces
- Spécialisation du foncteur de Picard
- Geometry on Grassmannians and applications to splitting bundles and smoothing cycles
- Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
- Degenerate fibers of three-dimensional manifolds fibered into rational surfaces
- The positivity of the Chern classes of an ample vector bundle
- Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
- A theorem of Gutwirth
- For a nonclosing field, every algebraic variety is a hypersurface, or all of space
- Rationally trivial homogeneous principal fibrations of schemes
- Characterization and algebraic deformations of projective space
- On automorphism groups of ruled surfaces
- Lectures on Curves on an Algebraic Surface. (AM-59)
- On the Graded Ring of Invariants of Binary Octavics
- The T 2,4 of S 6 Defined by a Rational Surface 3 F 8
- On Self-Intersection Number of a Section on a Ruled Surface
- On the Structure of Compact Complex Analytic Surfaces, II
- On the Structure of Complex Analytic Surfaces, IV
- Curves Over Discrete Valuation Rings
- On Canonically Polarized Varieties (II)
- Secant Bundles on Symmetric Products
- A Canonical Curve of Genus 7
- Elliptic modular surfaces, I
- Die Struktur von algebraischen Vektorbündeln über Regelflächen
- Un’osservazione sulla varietá cubica diP 4
- Vector Bundles on an Elliptic Curve
- ON OBSTRUCTIONS TO DEFORMATIONS OF COMPLEX ANALYTIC SURFACES
- On Deformations of a Certain Type of Irregular Algebraic Surface
- A note on a paper of Farkas
- Classification of vector bundles over an algebraic curve of arbitrary genus
- SMOOTH COVERINGS OF HYPERELLIPTIC SURFACES
- On a Conjecture of Andre Weil
- Vector Bundles on Algebraic Surfaces
- Vector Bundles on the Projective Plane
- Riemann surfaces and spin structures
- Abelian Differentials with Double Zeros
- Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
- Complete Ideals and Monoidal Transforms
- Automorphism Groups on Compact Riemann Surfaces
- The Surface of S 4 Generated by the Rational Normal Quartic Curves which Touch Four Given Lines
- Birationally Ruled Surfaces without Embeddings in Regular Schemes
- Theta characteristics of an algebraic curve
- Note on parametrisations of normal elliptic scrolls
- The Minimum Model of Spaces on a Quadric
- Severi's Conjecture on 0-Cycles for a Complete Intersection.
- Ample Vector Bundles on Curves
- Fixed Points of Automorphisms of Compact Riemann Surfaces
- Varieties of special divisors on a curve. II.
- Sui sistemi continui d’ipersuperficie effettive appartenenti ad una varieta’ algebrica non singolare
- P-Ample Bundles and Their Chern Classes
- The foundation of algebraic geometry
- On $D$-dimensions of algebraic varieties
- Modulus Space is Simply-Connected
- Primals Passing Multiply Through Elliptic Normal Curves
- Sous-groupes algébriques de rang maximum du groupe de Cremona
- On Kodaira dimensions of certain algebraic varieties
- Stratifikation von Quotientenmannigfaltigkeiten (in Charakteristik 0) und insbesondere der Modulmannigfaltigkeiten für Kurven.
- Numerical Invariants and Multiple Planes
- On General Riemann Matrices and Their Attached Abelian Varieties
- ON THE MOTIF OF A CUBIC HYPERSURFACE
- On a conjecture of H. Rauch on theta constants and Riemann surfaces with many automorphisms.
- Canonical systems of double spaces.
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- On the Behavior of Extensions of Vector Bundles Under the Frobenius Map
- The Variation of Singular Cycles in an Algebraic Family of Morphisms
- A Note on Quadratic Complexes
- Some Elementary Examples of Unirational Varieties Which are Not Rational
- Stable Vector Bundles on Algebraic Surfaces
- The Fields of Moduli for Polarized Abelian Varieties and for Curves
- Fibrés vectoriels positifs sur une courbe elliptique
- A Non-Existence Theorem for Families of Stable Bundles
- On the Existence of Special Divisors
- Zwei Sätze über monoidale Transformationen
- The Historical Development of Algebraic Geometry
- Polarized Varieties with a Given Hilbert Polynomial
- Characteristic Classes of Stable Bundles of Rank 2 Over an Algebraic Curve
- On geometrical classification of fibers in pencils of curves of genus two
- Further Pathologies in Algebraic Geometry
- Abstract vanishing cycle theory
- SOME REMARKS ON AUTOMORPHISMS, ANALYTIC BUNDLES, AND EMBEDDINGS OF COMPLEX ALGEBRAIC VARIETIES
- STABLE BUNDLES AND UNITARY BUNDLES ON A COMPACT RIEMANN SURFACE
- The Secant Bundle of a Projective Variety
- Arithmetic on algebraic varieties
- On the De Rham cohomology of algebraic varieties
- Sulle varieta abeliane
- The Associative Law for Intersection Numbers
- ON THE CHERN NUMBERS OF CERTAIN COMPLEX AND ALMOST COMPLEX MANIFOLDS
- On Characteristic Systems of Families of Surfaces with Ordinary Singularities in a Projective Space
- On the Graded Ring of Theta-Constants
- On the Graded Ring of Theta-Constants (II)
- On a Curve of Genus 7
- On the Specialization of Birationally Equivalent Curves
- A Note on Weierstrass Points
- On the compactification of arithmetically defined quotients of bounded symmetric domains
- PLURICANONICAL SYSTEMS ON ALGEBRAIC SURFACES OF GENERAL TYPE
- Intersection Theory on a Singular Algebraic Surface-Addendum
- Special Divisors and Analytic Subloci of Teichmueller Space
- CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
- A New Look at the Kummer Surface
- Special Divisors on Compact Riemann Surfaces
- Numerical and Homological Equivalence of Algebraic Cycles on Hodge Manifolds
- A Bound for the Number of Automorphisms of a Compact Riemann Surface
- ON EXTENDING VECTOR BUNDLES OVER PROJECTIVE SPACE
- Rational Surfaces with Exceptional Unodes
- Algebraic Deformations of Polarized Varieties
- Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
- Alcuni recenti risultati relativi al corpo delle funzioni razionali sopra una varieta’ algebrica
- On the varieties of special divisors on a curve.
- The Early Development of Algebraic Geometry
- Smoothing of Algebraic Cycles of Small Dimensions
- Periods of a Moduli Space of Bundles on Curves
- THETA CONSTANTS, MODULI, AND COMPACT RIEMANN SURFACES
- Weierstrass Points and Analytic Submanifolds of Teichmueller Space
- Invariant subfields of rational function fields
- Algebraic Families on an Algebraic Surface
- Ruled surfaces and the Albanese mapping
- On the Symmetric Product of a Rational Surface
- Ample Vector Bundles on Algebraic Surfaces
- The Curve of Genus 2 with Reducible Integrals
- THE RESIDUE CALCULUS AND SOME TRANSCENDENTAL RESULTS IN ALGEBRAIC GEOMETRY, I
- THE RESIDUE CALCULUS AND SOME TRANSCENDENTAL RESULTS IN ALGEBRAIC GEOMETRY, II
- The Cremona transformation of S 6 by quadrics through a normal elliptic septimic scroll 1 R 7
- Higher Picard Varieties
- Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)
- Natural Lifts and the Covariant Systems of Todd
- Note on the structure of a ruled surface.
- Singular Points of Complex Hypersurfaces. (AM-61)
- Three Plane Sextics and their Automorphisms
- The Lefschetz-Riemann-Roch formula
- Picard-Lefschetz Theorem for Families of Nonsingular Algebraic Varieties Acquiring Ordinary Singularities
- A page of mathematical autobiography
- Specialization of Cremona transformations