Enriques surfaces of non-degeneracy 3

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 tha...

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Veröffentlicht in:Journal of the European Mathematical Society : JEMS 2024-10
Hauptverfasser: Martin, Gebhard, Mezzedimi, Giacomo, Veniani, Davide Cesare
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container_title Journal of the European Mathematical Society : JEMS
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creator Martin, Gebhard
Mezzedimi, Giacomo
Veniani, Davide Cesare
description 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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title Enriques surfaces of non-degeneracy 3
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