On exceptional Enriques surfaces
Algebraic Geometry
2021-08-27 v2
Abstract
We give a complete description of all classical Enriques surfaces with non-zero global vector fields. In particular we show that there are such surfaces. The obtained result also applies to supersingular Enriques surfaces fulfilling a rather special condition. During this classification we study some properties of genus 1-fibrations special to characteristic as well as make a close study of the genus 1-fibration on the surfaces that we classify.
Cite
@article{arxiv.math/0405510,
title = {On exceptional Enriques surfaces},
author = {T. Ekedahl and N. I. Shepherd-Barron},
journal= {arXiv preprint arXiv:math/0405510},
year = {2021}
}
Comments
19 pages. This version gives a different presentation of the combinatorics involved