On endomorphisms of the de Rham cohomology functor
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866929281612906496 |
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| author | Li, Shizhang Mondal, Shubhodip |
| author_facet | Li, Shizhang Mondal, Shubhodip |
| contents | 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 $W_2$, and prove further functorial improvements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_04303 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On endomorphisms of the de Rham cohomology functor Li, Shizhang Mondal, Shubhodip Algebraic Geometry Algebraic Topology Number Theory 14F30, 14F40, 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 $W_2$, and prove further functorial improvements. |
| title | On endomorphisms of the de Rham cohomology functor |
| topic | Algebraic Geometry Algebraic Topology Number Theory 14F30, 14F40, |
| url | https://arxiv.org/abs/2109.04303 |