Arithmetic Moduli and Lifting of Enriques Surfaces
Algebraic Geometry
2015-09-02 v2
Abstract
We construct the moduli space of Enriques surfaces in positive characteristic and eventually over the integers, and determine its local and global structure. As an application, we show lifting of Enriques surfaces to characteristic zero. The key observation is that the canonical double cover of an Enriques surface is birational to the complete intersection of three quadrics in IP^5, even in characteristic 2.
Cite
@article{arxiv.1007.0787,
title = {Arithmetic Moduli and Lifting of Enriques Surfaces},
author = {Christian Liedtke},
journal= {arXiv preprint arXiv:1007.0787},
year = {2015}
}
Comments
32 pages; the section on moduli spaces is completely rewritten