Local families of K3 surfaces and applications

DOI10.1090/S1056-3911-03-00362-XzbMath1085.14510MaRDI QIDQ4461664

Keiji Oguiso

Publication date: 18 May 2004

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items

Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting), Singular fibers of very general Lagrangian fibrations, A remark on dynamical degrees of automorphisms of hyperkähler manifolds, Picard ranks of \(K3\) surfaces over function fields and the Hecke orbit conjecture, Picard number of the generic fiber of an abelian fibered hyperkähler manifold, Autoequivalences of derived category of a K3 surface and monodromy transformations, On the equidistribution of some Hodge loci, Modular forms and \(K3\) surfaces, Non-liftability of automorphism groups of a \(K3\) surface in positive characteristic, Gaps in the support of canonical currents on projective K3 surfaces, One‐dimensional local families of complex K3 surfaces, Cox rings of surfaces and the anticanonical Iitaka dimension, Supersingular \(K3\) surfaces for large primes. With an Appendix by Andrew Snowden., Exceptional isogenies between reductions of pairs of elliptic curves

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
• Unnamed Item
• Unnamed Item
• Arithmetic subgroups of algebraic groups
• The two most algebraic K3 surfaces
• Variétés kähleriennes dont la première classe de Chern est nulle
• Finiteness results for algebraic K3 surfaces
• Finite groups of automorphisms of K3 surfaces and the Mathieu group
• Finite automorphism groups of complex tori of dimension two
• Structure of complex tori with the automorphisms of maximal degree
• Mordell-Weil groups of elliptic curves over C(t) with pg=O or 1
• Enriques surfaces. I
• Compact hyperkähler manifolds: Basic results
• \(K3\) surfaces with order five automorphisms
• The cone of curves of a K3 surface
• Kummer structures on a \(K3\) surface: An old question of T. Shioda
• Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications
• On elliptic modular surfaces
• The automorphism groups of Kummer surfaces associated with the product of two elliptic curves
• Dynamics on K3 surfaces: Salem numbers and Siegel disks
• Algebraic K3 surfaces with finite automorphism groups
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• Families of K3 surfaces
• A remark on algebraic surfaces with polyhedral Mori cone
• On the Structure of Compact Complex Analytic Surfaces, I
• A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3