On K3 double planes covering Enriques surfaces

Chris Peters (Corresponding author), Hans Sterk

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

The moduli space of nodal Enriques surfaces is irreducible of dimension 9. A nodal Enriques surface is shown to be the quotient of a double cover of the plane by a lift of the Cremona involution. We also show that this gives a straightforward proof of the known description of the automorphism group for the generic such surface.

Original languageEnglish
Number of pages30
JournalMathematische Annalen
DOIs
Publication statusE-pub ahead of print - 2020

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Covering
Involution
Moduli Space
Automorphism Group
Quotient
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title = "On K3 double planes covering Enriques surfaces",
abstract = "The moduli space of nodal Enriques surfaces is irreducible of dimension 9. A nodal Enriques surface is shown to be the quotient of a double cover of the plane by a lift of the Cremona involution. We also show that this gives a straightforward proof of the known description of the automorphism group for the generic such surface.",
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On K3 double planes covering Enriques surfaces. / Peters, Chris (Corresponding author); Sterk, Hans.

In: Mathematische Annalen, 2020.

Research output: Contribution to journalArticleAcademicpeer-review

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