Hodge-Tate decomposition for non-smooth spaces
Algebraic Geometry
2022-01-24 v2 Number Theory
Abstract
In this article, we generalize the Hodge-Tate decomposition of p-adic \'etale cohomology to non-smooth rigid spaces. Our strategy is to study pro-\'etale cohomology of rigid spaces introduced by Scholze, using the resolution of singularities and the simplicial method.
Cite
@article{arxiv.1909.09917,
title = {Hodge-Tate decomposition for non-smooth spaces},
author = {Haoyang Guo},
journal= {arXiv preprint arXiv:1909.09917},
year = {2022}
}
Comments
Revised version, exposition is improved; to appear in J. Eur. Math. Soc