Equations for some very special Enriques surfaces in characteristic two

2003/09/12 by Pelle Salomonsson, Salomonsson, Pelle
Mathematics · Physics and Astronomy · #14J28 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG #msc:14J28

paper · pdf · doi:10.48550/arxiv.math/0309210

10 pages

arxiv created 2003/09/12 · openalex publication_date 2003/09/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an explicit construction and clasification of some very special sort of Enriques surfaces in characteristic two. This proves the existence of some of the surfaces that were called ``extra-special'' by Cossec and Dolgachev in their book on the subject, and whose existence was left open by them. These surfaces coincide with a class of surfaces that are introduced in recent work by Ekedahl and Shepherd--Barron.

Citations

• On exceptional Enriques surfaces

Related

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