October, 2023 Coble surfaces in characteristic two
Toshiyuki KATSURA, Shigeyuki KONDŌ
Author Affiliations +
J. Math. Soc. Japan 75(4): 1287-1337 (October, 2023). DOI: 10.2969/jmsj/87568756

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.

Funding Statement

Research of the first author is partially supported by JSPS Grant-in-Aid for Scientific Research (C) No.20K03530 and the second author by JSPS Grant-in-Aid for Scientific Research (A) No.20H00112.

Citation

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Toshiyuki KATSURA. Shigeyuki KONDŌ. "Coble surfaces in characteristic two." J. Math. Soc. Japan 75 (4) 1287 - 1337, October, 2023. https://doi.org/10.2969/jmsj/87568756

Information

Received: 7 August 2021; Revised: 17 April 2022; Published: October, 2023
First available in Project Euclid: 2 December 2022

Digital Object Identifier: 10.2969/jmsj/87568756

Subjects:
Primary: 14J26
Secondary: 14G17 , 14J28 , 14J50

Keywords: automorphism groups , characteristic 2 , Coble surfaces , Enriques surfaces

Rights: Copyright ©2023 Mathematical Society of Japan

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Vol.75 • No. 4 • October, 2023
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