Some Differential Equations for the Riemann $θ$-Function on Jacobians
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2018
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| _version_ | 1866916308177649664 |
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| author | Wilms, Robert |
| author_facet | Wilms, Robert |
| contents | We prove some differential equations for the Riemann theta function associated to the Jacobian of a Riemann surface. The proof is based on some variants of a formula by Fay for the theta function, which are motivated by their analogues in Arakelov theory of Riemann surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_10476 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Some Differential Equations for the Riemann $θ$-Function on Jacobians Wilms, Robert Algebraic Geometry Number Theory 14H42, 14G40 We prove some differential equations for the Riemann theta function associated to the Jacobian of a Riemann surface. The proof is based on some variants of a formula by Fay for the theta function, which are motivated by their analogues in Arakelov theory of Riemann surfaces. |
| title | Some Differential Equations for the Riemann $θ$-Function on Jacobians |
| topic | Algebraic Geometry Number Theory 14H42, 14G40 |
| url | https://arxiv.org/abs/1811.10476 |