$p$-DIVISIBILITY FOR COHERENT COHOMOLOGY

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 motivate...

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Bibliographic Details
Main Author: BHARGAV BHATT
Format: Article
Language:English
Published: Cambridge University Press 2015-08-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509415000110/type/journal_article