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| Format: | Preprint |
| Veröffentlicht: |
2022
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2208.01531 |
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| _version_ | 1866913259004624896 |
|---|---|
| author | Negishi, Ryo |
| author_facet | Negishi, Ryo |
| contents | We determine the Picard-Fuchs equations of the generalized Dwork families by Katz. As an application, we compute the Frobenius matrix on the rigid cohomology of the family. This was originally done by Kloosterman, while we give an alternative computation with use of the Picard-Fuchs equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_01531 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Picard-Fuchs equations of the generalized Dwork family Negishi, Ryo Algebraic Geometry 14D05, 14F30, 14F40 We determine the Picard-Fuchs equations of the generalized Dwork families by Katz. As an application, we compute the Frobenius matrix on the rigid cohomology of the family. This was originally done by Kloosterman, while we give an alternative computation with use of the Picard-Fuchs equations. |
| title | Picard-Fuchs equations of the generalized Dwork family |
| topic | Algebraic Geometry 14D05, 14F30, 14F40 |
| url | https://arxiv.org/abs/2208.01531 |