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math.AG2020★ 18 cited
Cohen-Macaulayness of absolute integral closures
Bhargav Bhatt
We prove that, modulo any power of a prime , the absolute integral closure of an excellent noetherian domain is Cohen-Macaulay. A graded analog is also established, yielding var…
math.AG2020
An asymptotic vanishing theorem for the cohomology of thickenings
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik +2
Let be a closed equidimensional local complete intersection subscheme of a smooth projective scheme over a field, and let denote the -th thickening of in .…