Enriques surfaces of non-degeneracy 3
Algebraic Geometry
2024-10-07 v2
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.
Keywords
Cite
@article{arxiv.2203.08000,
title = {Enriques surfaces of non-degeneracy 3},
author = {Gebhard Martin and Giacomo Mezzedimi and Davide Cesare Veniani},
journal= {arXiv preprint arXiv:2203.08000},
year = {2024}
}
Comments
24 pages, v2: minor improvements and corrections