Curves on \(K3\) surfaces
From MaRDI portal
Publication:2105210
DOI10.1215/00127094-2021-0107OpenAlexW4308623075MaRDI QIDQ2105210
Christian Liedtke, Frank Gounelas, Xiong Chen
Publication date: 8 December 2022
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.01207
(K3) surfaces and Enriques surfaces (14J28) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Positive characteristic ground fields in algebraic geometry (14G17)
Related Items (3)
Singular rational curves on elliptic K3 surfaces ⋮ Obstructions to deforming maps from curves to surfaces ⋮ On the geometry of K3 surfaces with finite automorphism group and no elliptic fibrations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable maps and Chow groups
- Rational curves on \(K3\) surfaces
- The Picard group of a \(K3\) surface and its reduction modulo \(p\)
- Equigeneric and equisingular families of curves on surfaces
- Constructing rational curves on \(K3\) surfaces
- Deformations of rational curves in positive characteristic
- Ordinary reduction of K3 surfaces
- Tate's conjecture for \(K3\) surfaces of finite height
- On the Severi problem
- 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)
- An example of unirational surfaces in characteristic \(p\)
- Supersingular \(K3\) surfaces in odd characteristic and sextic double planes
- On a stratification of the moduli of \(K3\) surfaces
- Severi varieties and Brill-Noether theory of curves on abelian surfaces
- Mirror symmetry for lattice polarized \(K3\) surfaces
- Density of rational curves on \(K3\) surfaces
- Rational curves on elliptic \(K3\) surfaces
- On the Picard number of \(K3\) surfaces over number fields
- A note on the cone conjecture for \(K3\) surfaces in positive characteristic
- On the distribution of the Picard ranks of the reductions of a \(K3\) surface
- Compactifying the space of stable maps
- The Cone of Curves of K3 Surfaces Revisited
- Stable varieties with a twist
- Geometry of Algebraic Curves
- Lectures on K3 Surfaces
- On a certain duality of Néron-Severi lattices of supersingular K3 surfaces
- Deformations of Algebraic Schemes
- Flops
- SUPERSINGULARK3 SURFACES OVER FIELDS OF CHARACTERISTIC 2
- Supersingular $K3$ surfaces
- Notes on stable maps and quantum cohomology
- Families of rationally connected varieties
- Exposé Bourbaki 1158 : Réduction stable en dimension supérieure (d'après Kollár, Hacon-Xu, ...)
- Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields
- Genus two curves on Abelian surfaces
- Rational curves on lattice-polarised K3 surfaces
- Arithmetic occult period maps
- Recent progress on the Tate conjecture
- Good Reduction of K3 Surfaces
- Elliptic Fibrations on K3 Surfaces
- Variation of Néron–Severi Ranks of Reductions of K3 Surfaces
- Rational curves and points on K3 surfaces
- On the Supersingular Reduction of K3 Surfaces with Complex Multiplication
- Density of rational points on elliptic \(K3\) surfaces
This page was built for publication: Curves on \(K3\) surfaces
