Normal forms for quasi-elliptic Enriques surfaces and applications

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Original languageEnglish
JournalEpijournal de Geometrie Algebrique
Volume8
Issue number8
Publication statusPublished - 7 Jun 2024

Abstract

We work out normal forms for quasi-elliptic Enriques surfaces and give several applications. These include torsors and numerically trivial automorphisms, but our main application is the completion of the classification of Enriques surfaces with finite automorphism groups started by Kondō, Nikulin, Martin and Katsura–Kondō–Martin.

Keywords

    Enriques surface, generalized Jacobian, quasi-elliptic fibration

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Cite this

Normal forms for quasi-elliptic Enriques surfaces and applications. / Katsura, Toshiyuki; Schütt, Matthias.
In: Epijournal de Geometrie Algebrique, Vol. 8, No. 8, 07.06.2024.

Research output: Contribution to journalArticleResearchpeer review

Katsura T, Schütt M. Normal forms for quasi-elliptic Enriques surfaces and applications. Epijournal de Geometrie Algebrique. 2024 Jun 7;8(8). doi: 10.48550/arXiv.2304.12599, 10.46298/epiga.2024.11410
Katsura, Toshiyuki ; Schütt, Matthias. / Normal forms for quasi-elliptic Enriques surfaces and applications. In: Epijournal de Geometrie Algebrique. 2024 ; Vol. 8, No. 8.
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By the same author(s)