Coble surfaces in characteristic two
Toshiyuki Katsura, Shigeyuki Kondo
TL;DR
This paper investigates Coble surfaces in characteristic two, focusing on their singularities and classifies those with finite automorphism groups into exactly nine types.
Contribution
It provides a classification of Coble surfaces with finite automorphism groups in characteristic two, identifying nine distinct types.
Findings
Identified singularities of canonical coverings of Coble surfaces in characteristic two.
Classified all Coble surfaces with finite automorphism groups into nine types.
Abstract
We study Coble surfaces in characteristic 2, in particular, singularities of their canonical coverings. As an application we classify Coble surfaces with finite automorphism group in characteristic 2. There are exactly 9 types of such surfaces.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometric and Algebraic Topology