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On
endomorphisms of the de Rham cohomology functor
Shizhang Li and Shubhodip Mondal |
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Geometry & Topology 28 (2024) 759–802
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Abstract |
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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 that are liftable to , and prove further functorial improvements. |
Keywords
crystalline cohomology, de Rham cohomology, Deligne–Illusie
decomposition, stacks
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Mathematical Subject Classification
Primary: 14F30, 14F40
Secondary: 14D23
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References |
Publication
Received: 26 October 2021
Revised: 20 April 2022
Accepted: 22 July 2022
Published: 13 March 2024
Proposed: Marc Levine
Seconded: Dan Abramovich, Mark Gross
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Authors |
| Shizhang Li | |
| Morningside Center of Mathematics
and Hua Loo-Keng Key Laboratory of Mathematics Chinese Academy of Sciences Beijing China |
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| Shubhodip Mondal | |
| Department of Mathematics University of British Columbia Vancouver, BC Canada |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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