Counterexamples to Hochschild-Kostant-Rosenberg in characteristic p

被引：6

作者：

Antieau, Benjamin ^{[1
]}

Bhatt, Bhargav ^{[2
]}

Mathew, Akhil ^{[3
]}

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[3] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

FORUM OF MATHEMATICS SIGMA | 2021年 / 9卷

基金：

美国国家科学基金会;

关键词：

13D03; 14F40; 16E40; 19D55; DECOMPOSITION; HOMOLOGY; THEOREM; DEGENERATION; ALGEBRAS;

D O I：

10.1017/fms.2021.20

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：26

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