On Vorontsov’s Theorem on K3 surfaces with non-symplectic group actions

DOI10.1090/S0002-9939-00-05427-7zbMath0957.14025OpenAlexW1600679045MaRDI QIDQ4955737

D.-Q. Zhang, Keiji Oguiso

Publication date: 22 May 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05427-7

zbMATH Keywords

automorphism grouplog Enriques surface\(K3\)-surfacetranscendental lattice

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) (K3) surfaces and Enriques surfaces (14J28) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (14)

Non-symplectic involutions of irreducible symplectic manifolds of \(K3^{[n}\)-type] ⋮ On Oguiso's \(K3\) surface ⋮ Non-symplectic automorphisms of 3-power order on \(K3\) surfaces ⋮ Counting elliptic fibrations on \(\mathrm{K}3\) surfaces ⋮ \(W = 0\) complex structure moduli stabilization on CM-type \(\mathrm{K}3 \times \mathrm{K}3\) orbifolds: arithmetic, geometry and particle physics ⋮ Generalized Borcea-Voisin construction ⋮ Order 9 automorphisms of K3 surfaces ⋮ Non-symplectic automorphisms of order 3 on \(K3\) surfaces ⋮ Classification of non-symplectic automorphisms on \(K3\) surfaces which act trivially on the Néron-Severi lattice ⋮ \(K3\) surfaces with non-symplectic automorphisms of prime order. With an appendix by Shigeyuki Kondō ⋮ \(K3\) surfaces with non-symplectic automorphisms of 2-power order ⋮ The modularity of \(K3\) surfaces with non-symplectic group actions ⋮ Classification of non-symplectic automorphisms of order 3 onK3 surfaces ⋮ On extremal log Enriques surfaces. II

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