Counterexamples to Hochschild--Kostant--Rosenberg in characteristic $p$

Published 25 Sep 2019 in math.AG and math.KT | (1909.11437v2)

Abstract: We give counterexamples to the degeneration of the HKR spectral sequence in characteristic $p$, both in the untwisted and twisted settings. We also prove that the de Rham--$\mathrm{HP}$ and crystalline--$\mathrm{TP}$ spectral sequences need not degenerate.

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