Open Access
January, 2021 Classification of Enriques surfaces covered by the supersingular $K3$ surface with Artin invariant 1 in characteristic 2
Shigeyuki KONDŌ
J. Math. Soc. Japan 73(1): 301-328 (January, 2021). DOI: 10.2969/jmsj/81778177

Abstract

We classify Enriques surfaces covered by the supersingular $K3$ surface with the Artin invariant 1 in characteristic 2. There are exactly three types of such Enriques surfaces.

Funding Statement

Research of the author is partially supported by Grant-in-Aid for Scientific Research (S) No. 15H05738.

Citation

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Shigeyuki KONDŌ. "Classification of Enriques surfaces covered by the supersingular $K3$ surface with Artin invariant 1 in characteristic 2." J. Math. Soc. Japan 73 (1) 301 - 328, January, 2021. https://doi.org/10.2969/jmsj/81778177

Information

Received: 5 December 2018; Revised: 26 September 2019; Published: January, 2021
First available in Project Euclid: 14 October 2020

Digital Object Identifier: 10.2969/jmsj/81778177

Subjects:
Primary: 14J28

Keywords: $K3$ surface , Enriques surface

Rights: Copyright © 2021 Mathematical Society of Japan

Vol.73 • No. 1 • January, 2021
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