The cone of curves of a K3 surface

DOI10.1007/BF01450509zbMath0813.14026OpenAlexW150691015MaRDI QIDQ1345949

Sándor J. Kovács

Publication date: 8 June 1995

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165275

zbMATH Keywords

algebraic K3 surfacescone of curvesPicard numbersrational curves of non-positive self-intersection

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Picard groups (14C22)

Related Items (28)

Weyl and Zariski chambers on K3 surfaces ⋮ A conjecture on rational approximations to rational points ⋮ Cox rings of \(K3\) surfaces with Picard number 2 ⋮ Enriques surfaces and an Apollonian packing in eight dimensions ⋮ Unnamed Item ⋮ Automorphism groups of Calabi-Yau manifolds of Picard number 2 ⋮ Moving and ample cones of holomorphic symplectic fourfolds ⋮ Higher dimensional Apollonian packings, revisited ⋮ The isomorphism problem of projective schemes and related algorithmic problems ⋮ Obstructions to deforming curves on a 3-fold, III: Deformations of curves lying on a K3 surface ⋮ On birational boundedness of some Calabi-Yau hypersurfaces ⋮ Cox rings of \(K3\) surfaces of Picard number three ⋮ Autoequivalences of twisted K3 surfaces ⋮ MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations ⋮ Automorphism group of Batyrev Calabi-Yau threefolds ⋮ Log-plurigenera in stable families ⋮ On the Seshadri constants of adjoint line bundles ⋮ Zariski chambers on surfaces of high Picard number ⋮ The total coordinate ring of a smooth projective surface ⋮ Counting Zariski chambers on del Pezzo surfaces ⋮ Rational Lagrangian fibrations on punctual Hilbert schemes of \(K3\) surfaces ⋮ Quadratic solutions of quadratic forms ⋮ The cone conjecture for Calabi-Yau pairs in dimension 2 ⋮ Minkowski decomposition of Okounkov bodies on surfaces ⋮ On the extendability of elliptic surfaces of rank two and higher ⋮ Local families of K3 surfaces and applications ⋮ A survey of Torelli and monodromy results for holomorphic-symplectic varieties ⋮ Curves of maximal moduli on K3 surfaces

Cites Work

• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The cone of curves of a K3 surface