Gluing for stable families of surfaces in mixed characteristic
Algebraic Geometry
2024-01-09 v4
Abstract
We study the normalizations of non-normal stable families of slc surfaces over an excellent DVR. In mixed characteristic, we establish a gluing statement that is relevant for the properness of the moduli space of such surfaces. We also study the fibers of such glued families, in mixed and equi-characteristic, and provide an essential result for slc adjunction in residue characteristic >5.
Keywords
Cite
@article{arxiv.2110.09845,
title = {Gluing for stable families of surfaces in mixed characteristic},
author = {Quentin Posva},
journal= {arXiv preprint arXiv:2110.09845},
year = {2024}
}
Comments
25 pages. Comments welcome at anytime. (v4: Final version, to appear in Algebraic Geometry. Abstract has been changed, minor corrections.)