Moduli space of rank one logarithmic connections over a compact Riemann surface
Let $\mathcal{M}_X$ denote the moduli space of rank one logarithmic connections singular over a finite subset $S$ of a compact Riemann surface $X$ with fixed residues. We study the rational functions into $\mathcal{M}_X$. We prove that there is a natural compactification of $\mathcal{M}_X$ and the P...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2020-07-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.41/ |
| _version_ | 1797651567129657344 |
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| author | Singh, Anoop |
| author_facet | Singh, Anoop |
| author_sort | Singh, Anoop |
| collection | DOAJ |
| description | Let $\mathcal{M}_X$ denote the moduli space of rank one logarithmic connections singular over a finite subset $S$ of a compact Riemann surface $X$ with fixed residues. We study the rational functions into $\mathcal{M}_X$. We prove that there is a natural compactification of $\mathcal{M}_X$ and the Picard group of $\mathcal{M}_X$ is isomorphic to the Picard group of $\mathrm{Pic}^d(X)$. |
| first_indexed | 2024-03-11T16:17:41Z |
| format | Article |
| id | doaj.art-cf7f1db2c07246ec91359ac7e0ffba40 |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:17:41Z |
| publishDate | 2020-07-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-cf7f1db2c07246ec91359ac7e0ffba402023-10-24T14:19:04ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692020-07-01358329730110.5802/crmath.4110.5802/crmath.41Moduli space of rank one logarithmic connections over a compact Riemann surfaceSingh, Anoop0Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhusi, Prayagraj 211 019, IndiaLet $\mathcal{M}_X$ denote the moduli space of rank one logarithmic connections singular over a finite subset $S$ of a compact Riemann surface $X$ with fixed residues. We study the rational functions into $\mathcal{M}_X$. We prove that there is a natural compactification of $\mathcal{M}_X$ and the Picard group of $\mathcal{M}_X$ is isomorphic to the Picard group of $\mathrm{Pic}^d(X)$.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.41/ |
| spellingShingle | Singh, Anoop Moduli space of rank one logarithmic connections over a compact Riemann surface Comptes Rendus. Mathématique |
| title | Moduli space of rank one logarithmic connections over a compact Riemann surface |
| title_full | Moduli space of rank one logarithmic connections over a compact Riemann surface |
| title_fullStr | Moduli space of rank one logarithmic connections over a compact Riemann surface |
| title_full_unstemmed | Moduli space of rank one logarithmic connections over a compact Riemann surface |
| title_short | Moduli space of rank one logarithmic connections over a compact Riemann surface |
| title_sort | moduli space of rank one logarithmic connections over a compact riemann surface |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.41/ |
| work_keys_str_mv | AT singhanoop modulispaceofrankonelogarithmicconnectionsoveracompactriemannsurface |