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Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p

Benjamin Antieau, Bhargav Bhatt, Akhil Mathew

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Source: Crossref

Published: Jan 1, 2021

DOI: 10.1017/fms.2021.20

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Source abstract

Abstract We give counterexamples to the degeneration of the Hochschild-Kostant-Rosenberg spectral sequence in characteristic p , both in the untwisted and twisted settings. We also prove that the de Rham-HP and crystalline-TP spectral sequences need not degenerate.

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