p-divisibility for coherent cohomology
Algebraic Geometry
2012-04-27 v1 Number Theory
Abstract
We prove that the coherent cohomology of a proper morphism of noetherian schemes can be made arbitrarily p-divisible by passage to proper covers (for a fixed prime p). Under some extra conditions, we also show that p-torsion can be killed by passage to proper covers. These results are motivated by the desire to understand rational singularities in mixed characteristic, and have applications in p-adic Hodge theory
Keywords
Cite
@article{arxiv.1204.5831,
title = {p-divisibility for coherent cohomology},
author = {Bhargav Bhatt},
journal= {arXiv preprint arXiv:1204.5831},
year = {2012}
}
Comments
15 pages, comments welcome!