The dihedral group $\mathcal D_{5}$ as a group of symplectic automorphisms on K3 surfaces

DOI10.1090/S0002-9939-2011-10650-6zbMath1219.14050arXiv0812.4518OpenAlexW2592774084MaRDI QIDQ3005616

Alice Garbagnati

Publication date: 9 June 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4518

zbMATH Keywords

\(K3\) surfaceslatticesdihedral groupssymplectic automorphisms

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (4)

Finite symplectic actions on the K3 lattice ⋮ Quotients of the Dwork pencil ⋮ On symplectic and non-symplectic automorphisms of \(K3\) surfaces ⋮ Elliptic K3 Surfaces with Abelian and Dihedral Groups of Symplectic Automorphisms

Cites Work

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• Every K 3 surface is Kähler
• Finite groups of automorphisms of K3 surfaces and the Mathieu group
• On K3 surfaces with large Picard number
• Galois covers between \(K3\) surfaces
• Symplectic automorphisms of prime order on \(K3\) surfaces
• Symplectic Automorphisms and the Picard Group of a K3 Surface
• Elliptic Fibrations and Symplectic Automorphisms on K3 Surfaces
• On the Torelli problem for kählerian $K-3$ surfaces

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