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Enriques surfaces of non-degeneracy 3

  • Gebhard Martin

    Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, Germany

  • Giacomo Mezzedimi

    Leibniz Universität Hannover, Hannover, Germany; Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, Germany

  • Davide Cesare Veniani

    Universität Stuttgart, Stuttgart, Germany
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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.

Cite this article

Gebhard Martin, Giacomo Mezzedimi, Davide Cesare Veniani, Enriques surfaces of non-degeneracy 3. J. Eur. Math. Soc. (2024), published online first

DOI 10.4171/JEMS/1533