On Enriques surfaces in characteristic 2 with a finite group of automorphisms

Abstract

Complex Enriques surfaces with a finite group of automorphisms are classified into seven types. In this paper, we determine which types of such Enriques surfaces exist in characteristic 2. In particular we give a one dimensional family of classical and supersingular Enriques surfaces with the automorphism group isomorphic to the symmetric group of degree five.

27 pages, 4 figures

References in corpus (4)

• On exceptional Enriques surfaces
• Finite groups of automorphisms of Enriques surfaces and the Mathieu group $M_{12}$
• Equations for some very special Enriques surfaces in characteristic two
• A 1-dimensional family of Enriques surfaces in characteristic 2 covered by the supersingular K3 surface with Artin invariant 1