Finite polynomial cohomology with coefficients
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866914965974155264 |
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| author | Huang, Ting-Han Wu, Ju-Feng |
| author_facet | Huang, Ting-Han Wu, Ju-Feng |
| contents | We introduce a theory of finite polynomial cohomology with coefficients in this paper. We prove several basic properties and introduce an Abel-Jacobi map with coefficients. As applications, we use such a cohomology theory to study arithmetics of compact Shimura curves over $\mathbb{Q}$, and simplify proofs of the works of Darmon-Rotger and Bertolini-Darmon-Prasanna. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_10289 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Finite polynomial cohomology with coefficients Huang, Ting-Han Wu, Ju-Feng Number Theory Algebraic Geometry 11G25, 14F30, 14G22 We introduce a theory of finite polynomial cohomology with coefficients in this paper. We prove several basic properties and introduce an Abel-Jacobi map with coefficients. As applications, we use such a cohomology theory to study arithmetics of compact Shimura curves over $\mathbb{Q}$, and simplify proofs of the works of Darmon-Rotger and Bertolini-Darmon-Prasanna. |
| title | Finite polynomial cohomology with coefficients |
| topic | Number Theory Algebraic Geometry 11G25, 14F30, 14G22 |
| url | https://arxiv.org/abs/2209.10289 |