An Algorithm to Compute Automorphism Groups of K3 Surfaces and an Application to Singular K3 Surfaces

DOI10.1093/imrn/rnv006zbMath1333.14034arXiv1304.7427OpenAlexW1975349390MaRDI QIDQ3459108

Ichiro Shimada

Publication date: 30 December 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7427

zbMATH Keywords

automorphism group\(K3\) surfaceTorelli theoremchamber decompositionBorcherds' methodVinberg-Conway theory

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) (K3) surfaces and Enriques surfaces (14J28) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (12)

Rational double points on Enriques surfaces ⋮ On the geometry of singular \(K3\) surfaces with discriminant 3, 4 and 7 ⋮ 15-nodal quartic surfaces. II: The automorphism group ⋮ Finiteness results for \(K3\) surfaces over arbitrary fields ⋮ On characteristic polynomials of automorphisms of Enriques surfaces ⋮ Holes of the Leech lattice and the projective models of K3 surfaces ⋮ On an Enriques Surface Associated With a Quartic Hessian Surface ⋮ \(K3\) surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers ⋮ The elliptic modular surface of level 4 and its reduction modulo 3 ⋮ Automorphism groups of certain Enriques surfaces ⋮ Enriques involutions on singular K3 surfaces of small discriminants ⋮ Borcherds' method for Enriques surfaces

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