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Positive characteristic algebraic geometry (Q4636222)

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scientific article; zbMATH DE number 6863802

Language	Label	Description	Also known as
English	Positive characteristic algebraic geometry	scientific article; zbMATH DE number 6863802

Statements

scholarly article

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Zsolt Patakfalvi

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publication date

23 April 2018

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full work available at URL

https://arxiv.org/abs/1412.2203

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.AG

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math.AC

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The weak ordinarity conjecture and $F$-singularities

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Existence of flips and minimal models for 3-folds in char $p$

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Multiplier ideals and modules on toric varieties

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Test ideals via algebras of 𝑝^{-𝑒}-linear maps

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Cartier modules: Finiteness results

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p −1-Linear Maps in Algebra and Geometry

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F-singularities via alterations

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Enriques' classification of surfaces in char p. III

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Uniform bounds for strongly 𝐹-regular surfaces

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On the Numerical Dimension of Pseudo-Effective Divisors in Positive Characteristic

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On base point freeness in positive characteristic

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Resolution of singularities of threefolds in positive characteristic. I: Reduction to local uniformization on Artin-Schreier and purely inseparable coverings

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Resolution of singularities of threefolds in positive characteristic. II

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Enriques surfaces. I

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An axiomatic approach to the second theorem of Bertini

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Resolution of singularities for 3-folds in positive characteristic

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On strongly \(F\)-regular inversion of adjunction

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Comparing multiplier ideals to test ideals on numerically ℚ‐Gorenstein varieties

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Singularities on normal varieties

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A numerical criterion for very ample line bundles

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Effective Matsusaka's theorem for surfaces in characteristic \(p\)

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Local positivity of ample line bundles

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Canonical models of surfaces of general type in positive characteristic

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Local cohomology and F-stability

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F-Purity and Rational Singularity

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Singularities of pluri-theta divisors in Char $p>0$

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Generic vanishing in characteristic p > 0 and the characterization of ordinary abelian varieties

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On the three dimensional minimal model program in positive characteristic

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Classification of two-dimensional F-regular and F-pure singularities

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Geometric interpretation of tight closure and test ideals

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F-regular and F-pure rings vs. log terminal and log canonical singularities

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Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne

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Stable reflexive sheaves

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Generalized divisors on Gorenstein schemes

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Local cohomological dimension in characteristic p

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Singularities of multiplicative \(p\)-closed vector fields and global \(1\)-forms of Zariski surfaces

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F-Regularity, Test Elements, and Smooth Base Change

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Deformation of F-injectivity and local cohomology

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Absolute integral closure in positive characteristic

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Rings of Frobenius operators

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Basepoint freeness for nef and big line bundles in positive characteristic

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Fujita's conjecture and Frobenius amplitude

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On Noether's inequality for threefolds

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Threefolds and deformations of surface singularities

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A local version of the Kawamata-Viehweg vanishing theorem

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Du Bois singularities deform

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Algebraic Surfaces of General Type with Small <i>c</i><sup>2</sup><sub>1</sub> in Positive Characteristic

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Uniruled surfaces of general type

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Non-classical Godeaux surfaces

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Algebraic Surfaces in Positive Characteristic

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F-modules: applications to local cohomology and D-modules in characteristic p>0.

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Strong and weak F -regularity are equivalent for graded rings

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On the commutation of the test ideal with localization and completion

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Normal F-pure surface singularities

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A characterization of rational singularities

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Semi-log canonical vs \(F\)-pure singularities

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Nonclassical Godeaux Surfaces in Characteristic Five

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On 3-dimensional terminal singularities

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Classification of Fano 3-folds with \(B_ 2 \geq 2\)

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Fano threefolds with wild conic bundle structures

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Ordinary varieties and the comparison between multiplier ideals and test ideals II

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The non-nef locus in positive characteristic

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A Frobenius variant of Seshadri constants

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Ordinary varieties and the comparison between multiplier ideals and test ideals

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Test Ideals Vs. Multiplier Ideals

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Semi-positivity in positive characteristics

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Depth of -singularities and base change of relative canonical sheaves

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$F$-singularities in families

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Fano threefolds with Picard number 2 in positive characteristic

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Galois extensions, plus closure, and maps on local cohomology

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Elliptic Surfaces

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F-injective singularities are Du Bois

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Test ideals in non-$\mathbb{Q}$-Gorenstein rings

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A canonical linear system associated to adjoint divisors in characteristic \(p>0\)

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Globally \(F\)-regular and log Fano varieties

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Progress in commutative algebra 2. Closures, finiteness and factorization

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A survey of test ideals

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On the behavior of test ideals under finite morphisms

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Bertini theorems for <i>F</i> -singularities

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Geography for surfaces of general type in positive characteristic

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Unstable vector bundles and linear systems on surfaces in characteristic p

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ℚ-Gorenstein splinter rings of characteristic p are F-regular

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Deformation of F-purity and F-regularity

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The multiplier ideal is a universal test ideal

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An interpretation of multiplier ideals via tight closure

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Adjoint ideals and a correspondence between log canonicity and \(F\)-purity

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\(D\)-modules over rings with finite F-representation type

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The trace map of Frobenius and extending sections for threefolds

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The \(d\)-very ampleness on a projective surface in positive characteristic

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Discrepancies of non-\(\mathbb Q\)-Gorenstein varieties

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Counterexamples to the Kawamata-Viehweg vanishing on ruled surfaces in positive characteristic

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Pluri-canonical maps of varieties of maximal Albanese dimension in positive characteristic

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4636222

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