Cohomology of multipoint connections on complex curves
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910069747089408 |
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| author | Zuevsky, A. |
| author_facet | Zuevsky, A. |
| contents | Assuming complex functions defined on complex curves satisfy recursion relations with respect to number of parameters, we express the corresponding cohomology theory via generalizations of holomorphic connections. In examples provided, the cohomology is explicitly found in terms of higher genus counterparts of elliptic functions as analytic continuations of solutions for functional equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_07747 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Cohomology of multipoint connections on complex curves Zuevsky, A. Functional Analysis Assuming complex functions defined on complex curves satisfy recursion relations with respect to number of parameters, we express the corresponding cohomology theory via generalizations of holomorphic connections. In examples provided, the cohomology is explicitly found in terms of higher genus counterparts of elliptic functions as analytic continuations of solutions for functional equations. |
| title | Cohomology of multipoint connections on complex curves |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2106.07747 |