Abstract
Our goal in this note is to show that cohomology classes with coefficients in finite flat group schemes can be killed by finite covers of the base scheme, and similarly for abelian schemes with “finite covers” replaced by “proper covers.” We apply this result to commutative algebra to give by a conceptual proof of Hochster–Huneke’s theorem on the existence of big Cohen–Macaulay algebras in positive characteristic; all previous proofs of this result were equational or cocycle-theoretic in nature.
Citation
Bhargav Bhatt. "Annihilating the cohomology of group schemes." Algebra Number Theory 6 (7) 1561 - 1577, 2012. https://doi.org/10.2140/ant.2012.6.1561
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