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Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p

Benjamin Antieau, Bhargav Bhatt, Akhil Mathew

Forum of Mathematics, Sigma · 2021

doi:10.1017/fms.2021.20 (opens in a new tab)

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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.

Abstract licence: CC BY-ND

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