Enriques surfaces in characteristic 2 with a finite group of automorphisms

DOI10.1090/jag/697zbMath1376.14038arXiv1512.06923OpenAlexW2963923644MaRDI QIDQ5373844

Toshiyuki Katsura, Shigeyuki Kondō

Publication date: 27 October 2017

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06923

zbMATH Keywords

\(K3\) surfacesfinite automorphism groupscharacteristic 2Enriques surfaces

Mathematics Subject Classification ID

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

Related Items

Canonical coverings of Enriques surfaces in characteristic 2, Coble surfaces in characteristic two, Classification of Enriques surfaces covered by the supersingular \(K3\) surface with Artin invariant 1 in characteristic 2

Cites Work

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• Arithmetic moduli and lifting of Enriques surfaces
• A \(1\)-dimensional family of Enriques surfaces in characteristic \(2\) covered by the supersingular \(K3\) surface with Artin invariant \(1\)
• Numerically trivial involutions of Kummer type of an Enriques surface
• On elliptic surfaces in characteristic p
• Automorphisms of Enriques surfaces which act trivially on the cohomology groups
• Quotients of abelian and hyperelliptic surfaces by rational vector fields
• Automorphisms of Enriques surfaces
• On automorphisms of Enriques surfaces
• Extremal rational elliptic surfaces in characteristic \(p\). I: Beauville surfaces
• Enriques surfaces. I
• Enriques' classification of surfaces in char p. III
• An example of unirational surfaces in characteristic \(p\)
• Extremal rational elliptic surfaces in characteristic \(p\). II: Surfaces with three or fewer singular fibres
• On extremal elliptic surfaces in characteristic 2 and 3.
• Néron models, Lie algebras, and reduction of curves of genus one
• On elliptic modular surfaces
• Numerical Trivial Automorphisms of Enriques Surfaces in Arbitrary Characteristic
• Kummer surfaces in characteristic $2$
• Formal groups arising from algebraic varieties
• Elliptic 𝐾3 surfaces with 𝐩^{𝐧}-torsion sections