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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2303.12244 |
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| _version_ | 1866911768043847680 |
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| author | Korotkin, Dmitry Zograf, Peter |
| author_facet | Korotkin, Dmitry Zograf, Peter |
| contents | We study the moduli space of meromorphic 1-forms on complex algebraic curves having at most simple poles with fixed nonzero residues. We interpret the Bergman tau function on this moduli space as a section of a line bundle and study its asymptotic behavior near the boundary and the locus of forms with non-simple zeros. As an application, we decompose the projection of this locus to the moduli space of curves into a linear combination of standard generators of the rational Picard group with explicit coefficients that depend on the residues. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_12244 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tau function and moduli of meromorphic forms on algebraic curves Korotkin, Dmitry Zograf, Peter Algebraic Geometry Mathematical Physics Exactly Solvable and Integrable Systems We study the moduli space of meromorphic 1-forms on complex algebraic curves having at most simple poles with fixed nonzero residues. We interpret the Bergman tau function on this moduli space as a section of a line bundle and study its asymptotic behavior near the boundary and the locus of forms with non-simple zeros. As an application, we decompose the projection of this locus to the moduli space of curves into a linear combination of standard generators of the rational Picard group with explicit coefficients that depend on the residues. |
| title | Tau function and moduli of meromorphic forms on algebraic curves |
| topic | Algebraic Geometry Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2303.12244 |