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Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p

Published online by Cambridge University Press:  22 June 2021

Benjamin Antieau
Affiliation:
Department of Mathematics, Northwestern University, Evanston, IL 60208; E-mail: antieau@northwestern.edu
Bhargav Bhatt
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109; E-mail: bhattb@umich.edu
Akhil Mathew
Affiliation:
Department of Mathematics, University of Chicago, Chicago, IL 60637; E-mail: amathew@math.uchicago.edu

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.

Type
Algebraic and Complex Geometry
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p
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