Canonical coverings of Enriques surfaces in characteristic 2
- 22 July 2022
- journal article
- research article
- Published by Mathematical Society of Japan (Project Euclid) in Journal of the Mathematical Society of Japan
- Vol. 74 (3), 1-24
- https://doi.org/10.2969/jmsj/86318631
Abstract
Let $\bar{Y}$ be a normal surface that is the canonical $\mu_2$- or $\alpha_2$-covering of a classical or supersingular Enriques surface in characteristic 2. We determine all possible configurations of singularities on $\bar{Y}$, and for each configuration we describe which type of Enriques surfaces (classical or supersingular) appear as quotients of $\bar{Y}$.
Keywords
This publication has 12 references indexed in Scilit:
- Enriques surfaces in characteristic 2 with a finite group of automorphismsJournal of Algebraic Geometry, 2017
- A $1$-dimensional family of Enriques surfaces in characteristic $2$ covered by the supersingular $K3$ surface with Artin invariant $1$Pure and Applied Mathematics Quarterly, 2015
- Connected Hopf algebras of dimensionJournal of Algebra, 2013
- Néron models, Lie algebras, and reduction of curves of genus oneInventiones Mathematicae, 2004
- Configurations of singular fibres on rational elliptic surfaces in characteristic twoCommunications in Algebra, 2000
- Extremal rational elliptic surfaces in characteristic p. II: Surfaces with three or fewer singular fibresArkiv för Matematik, 1994
- Quotients of abelian and hyperelliptic surfaces by rational vector fieldsJournal of Algebra, 1989
- Enriques Surfaces IPublished by Springer Science and Business Media LLC ,1989
- INSEPARABLE MORPHISMS OF ALGEBRAIC SURFACESMathematics of the USSR-Izvestiya, 1976
- Enriques' classification of surfaces in char.p, IIIInventiones Mathematicae, 1976