Moduli space of rank one logarithmic connections over a compact Riemann surface

Anoop Singh

doi:10.5802/crmath.41

Géométrie algébrique, Géométrie analytique

Moduli space of rank one logarithmic connections over a compact Riemann surface

Anoop Singh ¹

¹ Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhusi, Prayagraj 211 019, India

Comptes Rendus. Mathématique, Volume 358 (2020) no. 3, pp. 297-301.

Résumé

Let $ℳ_{X}$ 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 $ℳ_{X}$ . We prove that there is a natural compactification of $ℳ_{X}$ and the Picard group of $ℳ_{X}$ is isomorphic to the Picard group of ${Pic}^{d} (X)$ .

Reçu le : 2019-05-09
Révisé le : 2020-03-20
Accepté le : 2020-03-20
Publié le : 2020-07-10

DOI : 10.5802/crmath.41

Classification : 14D20, 14C22, 14E05

Affiliations des auteurs :

Anoop Singh ¹

¹ Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhusi, Prayagraj 211 019, India

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Anoop Singh},
     title = {Moduli space of rank one logarithmic connections over a compact {Riemann} surface},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {297--301},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {358},
     number = {3},
     year = {2020},
     doi = {10.5802/crmath.41},
     language = {en},
}

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Anoop Singh. Moduli space of rank one logarithmic connections over a compact Riemann surface. Comptes Rendus. Mathématique, Volume 358 (2020) no. 3, pp. 297-301. doi : 10.5802/crmath.41. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.41/

Bibliographie
Cité par

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