Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p

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.

Bibliographic Details
Main Authors: Benjamin Antieau, Bhargav Bhatt, Akhil Mathew
Format: Article
Language:English
Published: Cambridge University Press 2021-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509421000207/type/journal_article