On K3 double planes covering Enriques surfaces

Chris Peters; Hans Sterk

doi:10.1007/s00208-018-1718-4

On K3 double planes covering Enriques surfaces

Chris Peters (Corresponding author), Hans Sterk

Discrete Mathematics

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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 language	English
Pages (from-to)	1599-1628
Number of pages	30
Journal	Mathematische Annalen
Volume	376
Issue number	3-4
Early online date	2020
DOIs	https://doi.org/10.1007/s00208-018-1718-4
Publication status	Published - 1 Apr 2020

Keywords

14J28
32J15
32J25

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10.1007/s00208-018-1718-4

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AB - 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

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