Moduli and periods of simply connected Enriques surfaces
Algebraic Geometry
2012-10-02 v1
Abstract
We describe a period map for those simply connected Enriques surfaces in characteristic 2 whose canonical double cover is K3. The moduli stack for these surfaces has a Deligne-Mumford quotient that is an open substack of a -bundle over the period space. We also give some general results relating local and global moduli for algebraic varieties and describe the difference in their dimensions in terms of the failure of the automorphism group scheme to be reduced.
Keywords
Cite
@article{arxiv.1210.0342,
title = {Moduli and periods of simply connected Enriques surfaces},
author = {T. Ekedahl and J. M. E. Hyland and N. I. Shepherd-Barron},
journal= {arXiv preprint arXiv:1210.0342},
year = {2012}
}