p-divisibility for coherent cohomology

Details p-divisibility for coherent cohomology p-divisibility for coherent cohomology

2012-04-26

arxiv.org/abs/1204.5831v1

Mathematics

Algebraic Geometry

15 pages, comments welcome!

Scientific paper

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

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