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Curves on \(K3\) surfaces - MaRDI portal

Curves on \(K3\) surfaces (Q2105210)

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scientific article; zbMATH DE number 7628856

Language	Label	Description	Also known as
English	Curves on \(K3\) surfaces	scientific article; zbMATH DE number 7628856

Statements

scholarly article

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Curves on \(K3\) surfaces (English)

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Christian Liedtke

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Duke Mathematical Journal

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publication date

8 December 2022

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full work available at URL

https://arxiv.org/abs/1907.01207

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zbMATH Keywords

deformations of surfaces

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K3 surface

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rational curves

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MaRDI profile type

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Stable varieties with a twist

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Compactifying the space of stable maps

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Arithmetic occult period maps

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Footnotes to a paper of Beniamino Segre. (The number of \(g^1_d\)'s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves)

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Geometry of Algebraic Curves

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Supersingular $K3$ surfaces

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Exposé Bourbaki 1158 : Réduction stable en dimension supérieure (d'après Kollár, Hacon-Xu, ...)

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Constructing rational curves on \(K3\) surfaces

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Density of rational points on elliptic \(K3\) surfaces

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Rational curves and points on K3 surfaces

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Ordinary reduction of K3 surfaces

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On the Picard number of \(K3\) surfaces over number fields

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Rational curves on lattice-polarised K3 surfaces

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Density of rational curves on \(K3\) surfaces

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On the distribution of the Picard ranks of the reductions of a \(K3\) surface

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Variation of Néron–Severi Ranks of Reductions of K3 Surfaces

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Equigeneric and equisingular families of curves on surfaces

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Mirror symmetry for lattice polarized \(K3\) surfaces

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The Picard group of a \(K3\) surface and its reduction modulo \(p\)

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Notes on stable maps and quantum cohomology

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Families of rationally connected varieties

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On the Severi problem

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Lectures on K3 Surfaces

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Stable maps and Chow groups

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On the Supersingular Reduction of K3 Surfaces with Complex Multiplication

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Deformations of rational curves in positive characteristic

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Genus two curves on Abelian surfaces

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Severi varieties and Brill-Noether theory of curves on abelian surfaces

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On a certain duality of Néron-Severi lattices of supersingular K3 surfaces

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The Cone of Curves of K3 Surfaces Revisited

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Rational curves on \(K3\) surfaces

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A note on the cone conjecture for \(K3\) surfaces in positive characteristic

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Good Reduction of K3 Surfaces

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Elliptic Fibrations on K3 Surfaces

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Tate's conjecture for \(K3\) surfaces of finite height

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Algebraic spaces and stacks

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SUPERSINGULAR<i>K</i>3 SURFACES OVER FIELDS OF CHARACTERISTIC 2

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Deformations of Algebraic Schemes

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Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields

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Supersingular \(K3\) surfaces in odd characteristic and sextic double planes

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An example of unirational surfaces in characteristic \(p\)

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Rational curves on elliptic \(K3\) surfaces

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Recent progress on the Tate conjecture

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On a stratification of the moduli of \(K3\) surfaces

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Identifiers

10.1215/00127094-2021-0107

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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:2105210

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