Enriques surfaces of non-degeneracy 3

We classify all non-extendable 3-sequences of half-fibers on Enriques surfaces. If the characteristic is different from 2, we prove in particular that every Enriques surface admits a 4-sequence, which implies that every Enriques surface is the minimal desingularization of an Enriques sextic, and that every Enriques surface is birational to a Castelnuovo quintic.

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Publication Details

Journal
Journal of the European Mathematical Society
Published
2024-10-02
DOI
https://doi.org/10.4171/jems/1533
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

Enriques surfaces of non-degeneracy 3

Giacomo Mezzedimi, Davide Cesare Veniani, Gebhard Martin
Journal of the European Mathematical Society
Rings, Modules, and Algebras
article

Enriques surfaces of non-degeneracy 3

Giacomo Mezzedimi, Davide Cesare Veniani, Gebhard Martin
article en

Abstract

We classify all non-extendable 3-sequences of half-fibers on Enriques surfaces. If the characteristic is different from 2, we prove in particular that every Enriques surface admits a 4-sequence, which implies that every Enriques surface is the minimal desingularization of an Enriques sextic, and that every Enriques surface is birational to a Castelnuovo quintic.

Journal of the European Mathematical Society
University of Stuttgart (DE), Leibniz University Hannover (DE), University of Bonn (DE)
Openalex Percentile: Top 99%
Rings, Modules, and Algebras
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