Geodesic
$p$-DIVISIBILITY FOR COHERENT COHOMOLOGY
Forum of Mathematics, Sigma, Tome 3 (2015)

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
@article{10_1017_fms_2015_11,
     author = {BHARGAV BHATT},
     title = {$p${-DIVISIBILITY} {FOR} {COHERENT} {COHOMOLOGY}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {3},
     year = {2015},
     doi = {10.1017/fms.2015.11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2015.11/}
}
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BHARGAV BHATT. $p$-DIVISIBILITY FOR COHERENT COHOMOLOGY. Forum of Mathematics, Sigma, Tome 3 (2015). doi: 10.1017/fms.2015.11

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