Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p

Benjamin Antieau; Bhargav Bhatt; Akhil Mathew

doi:10.1017/fms.2021.20

Forum of Mathematics, Sigma (Jan 2021)

Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p

Benjamin Antieau,
Bhargav Bhatt,
Akhil Mathew

Affiliations

Benjamin Antieau: Department of Mathematics, Northwestern University, Evanston, IL 60208; E-mail:
Bhargav Bhatt: Department of Mathematics, University of Michigan, Ann Arbor, MI 48109; E-mail:
Akhil Mathew: Department of Mathematics, University of Chicago, Chicago, IL 60637; E-mail:

DOI: https://doi.org/10.1017/fms.2021.20
Journal volume & issue: Vol. 9

Abstract

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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.

Published in Forum of Mathematics, Sigma

ISSN: 2050-5094 (Online)
Publisher: Cambridge University Press
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.cambridge.org/core/journals/forum-of-mathematics-sigma

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