Non-symplectic automorphisms of order 3 on \(K3\) surfaces

DOI10.1007/s00208-008-0260-1zbMath1152.14035arXiv0801.3101OpenAlexW2029963911MaRDI QIDQ957875

Michela Artebani, Alessandra Sarti

Publication date: 1 December 2008

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

Full work available at URL: https://arxiv.org/abs/0801.3101

zbMATH Keywords

automorphisms of \(K3\) surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Families, moduli, classification: algebraic theory (14J10) Automorphisms of surfaces and higher-dimensional varieties (14J50)

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Cites Work

• Automorphisms of algebraic K3 surfaces which act trivially on Picard groups
• The topological type of nonsingular surfaces in \(RP^3\) of degree four
• Some lattices over \(Q(\sqrt{-3})^*\)
• \(K3\) surfaces with order five automorphisms
• Normal algebraic surfaces with trivial tricanonical divisors
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications
• Symplectic automorphisms of prime order on \(K3\) surfaces
• Del Pezzo and \(K3\) surfaces
• The index of elliptic operators. III
• The Coxeter–Todd lattice, the Mitchell group, and related sphere packings
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• Projective Models of K - 3 Surfaces
• On Vorontsov’s Theorem on K3 surfaces with non-symplectic group actions
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