Algebraic K3 surfaces with finite automorphism groups

DOI10.1017/S0027763000001653zbMath0667.14020MaRDI QIDQ3819173

Shigeyuki Kondō

Publication date: 1989

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

algebraic K3 surfaceautomorphism group of the Picard lattice

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) (K3) surfaces and Enriques surfaces (14J28)

Related Items

The Geometry and Moduli of K3 Surfaces, Rational double points on supersingular 𝐾3 surfaces, Linear systems on rational elliptic surfaces and elliptic fibrations on \(K3\) surfaces, Quotients of the Dwork pencil, A Hilbert irreducibility theorem for Enriques surfaces, Finite subgroups of automorphisms of K3 surfaces, On Néron-Severi lattices of Jacobian elliptic \(K3\) surfaces, \(W = 0\) complex structure moduli stabilization on CM-type \(\mathrm{K}3 \times \mathrm{K}3\) orbifolds: arithmetic, geometry and particle physics, Stable pair compactification of moduli of \(K3\) surfaces of degree 2, Unnamed Item, Order 9 automorphisms of K3 surfaces, On Cox rings of K3 surfaces, Classifications of Elliptic Fibrations of a Singular K3 Surface, The Kodaira dimension of some moduli spaces of elliptic K3 surfaces, The moduli of curves of genus six and K3 surfaces, Local families of K3 surfaces and applications, On the geometry of K3 surfaces with finite automorphism group and no elliptic fibrations

Cites Work

• On algebraic K3 surfaces with finite automorphism groups
• On automorphisms of algebraic K3 surfaces which act trivially on Picard groups
• Finite groups of automorphisms of K3 surfaces and the Mathieu group
• Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications
• On elliptic modular surfaces
• On compact analytic surfaces. II
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• ON GROUPS OF UNIT ELEMENTS OF CERTAIN QUADRATIC FORMS