Some Differential Equations for the Riemann θ-Function on Jacobians
We prove some differential equations for the Riemann theta function associated with 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.
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2024 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2024
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212247 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Some Differential Equations for the Riemann θ-Function on Jacobians. Robert Wilms. SIGMA 20 (2024), 060, 11 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862570372036034560 |
|---|---|
| author | Wilms, Robert |
| author_facet | Wilms, Robert |
| citation_txt | Some Differential Equations for the Riemann θ-Function on Jacobians. Robert Wilms. SIGMA 20 (2024), 060, 11 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We prove some differential equations for the Riemann theta function associated with 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.
|
| first_indexed | 2026-03-13T11:52:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212247 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T11:52:42Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Wilms, Robert 2026-02-03T07:52:25Z 2024 Some Differential Equations for the Riemann θ-Function on Jacobians. Robert Wilms. SIGMA 20 (2024), 060, 11 pages 1815-0659 2020 Mathematics Subject Classification: 14H42; 14G40 arXiv:1811.10476 https://nasplib.isofts.kiev.ua/handle/123456789/212247 https://doi.org/10.3842/SIGMA.2024.060 We prove some differential equations for the Riemann theta function associated with 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. I would like to thank the anonymous referees for their helpful comments and suggestions. Further, I gratefully acknowledge support from SFB/Transregio 45. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Some Differential Equations for the Riemann θ-Function on Jacobians Article published earlier |
| spellingShingle | Some Differential Equations for the Riemann θ-Function on Jacobians Wilms, Robert |
| title | Some Differential Equations for the Riemann θ-Function on Jacobians |
| title_full | Some Differential Equations for the Riemann θ-Function on Jacobians |
| title_fullStr | Some Differential Equations for the Riemann θ-Function on Jacobians |
| title_full_unstemmed | Some Differential Equations for the Riemann θ-Function on Jacobians |
| title_short | Some Differential Equations for the Riemann θ-Function on Jacobians |
| title_sort | some differential equations for the riemann θ-function on jacobians |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212247 |
| work_keys_str_mv | AT wilmsrobert somedifferentialequationsfortheriemannθfunctiononjacobians |