On endomorphisms of the de Rham cohomology functor

被引：0
|
作者：
Li, Shizhang [1 ,2 ]
Mondal, Shubhodip [3 ]
机构：
[1] Chinese Acad Sci, Morningside Ctr Math, Beijing, Peoples R China
[2] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China
[3] Univ British Columbia, Dept Math, Vancouver, BC, Canada
来源：
GEOMETRY & TOPOLOGY | 2024年 / 28卷 / 02期
基金：
美国国家科学基金会;
关键词：
crystalline cohomology; de Rham cohomology; Deligne–Illusie decomposition; stacks;
D O I：
10.2140/gt.2024.28.759
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We compute the moduli of endomorphisms of the de Rham and crystalline cohomology functors, viewed as a cohomology theory on smooth schemes over truncated Witt vectors. As applications of our result, we deduce Drinfeld's refinement of the classical Deligne-Illusie decomposition result for de Rham cohomology of varieties in characteristic p > 0 that are liftable to W2, and prove further functorial improvements.
引用
收藏
页码：759 / 802
页数：44
相关论文
共 50 条
12345