Perfectoid Shimura varieties of abelian type
Number Theory
2016-09-13 v4
Abstract
We prove that Shimura varieties of abelian type with infinite level at are perfectoid. As a corollary, the moduli spaces of polarized K3 surfaces with infinite level at are also perfectoid.
Keywords
Cite
@article{arxiv.1507.01824,
title = {Perfectoid Shimura varieties of abelian type},
author = {Xu Shen},
journal= {arXiv preprint arXiv:1507.01824},
year = {2016}
}
Comments
37 pages; slightly revised version, to appear in IMRN