On equivariant bundles and their moduli spaces
Let $G$ be an algebraic group and $\Gamma $ a finite subgroup of automorphisms of $G$. Fix also a possibly ramified $\Gamma $-covering $\widetilde{X} \rightarrow X$. In this setting one may define the notion of $(\Gamma ,G)$-bundles over $\widetilde{X}$ and, in this paper, we give a description of t...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2024-02-01
|
| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.524/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825206262949740544 |
|---|---|
| author | Damiolini, Chiara |
| author_facet | Damiolini, Chiara |
| author_sort | Damiolini, Chiara |
| collection | DOAJ |
| description | Let $G$ be an algebraic group and $\Gamma $ a finite subgroup of automorphisms of $G$. Fix also a possibly ramified $\Gamma $-covering $\widetilde{X} \rightarrow X$. In this setting one may define the notion of $(\Gamma ,G)$-bundles over $\widetilde{X}$ and, in this paper, we give a description of these objects in terms of $\mathcal{H}$-bundles on $X$, for an appropriate group $\mathcal{H}$ over $X$ which depends on the local type of the $(\Gamma ,G)$-bundles we intend to parametrize. This extends, and along the way clarifies, an earlier work of Balaji and Seshadri. |
| format | Article |
| id | doaj-art-be6249050e634ca698121bd05cef240f |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-02-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-be6249050e634ca698121bd05cef240f2025-02-07T11:12:53ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-02-01362G1556210.5802/crmath.52410.5802/crmath.524On equivariant bundles and their moduli spacesDamiolini, Chiara0Department of Mathematics, University of Pennsylvania, Philadelphia, USA; Department of Mathematics, University of Texas at Austin, Austin, USALet $G$ be an algebraic group and $\Gamma $ a finite subgroup of automorphisms of $G$. Fix also a possibly ramified $\Gamma $-covering $\widetilde{X} \rightarrow X$. In this setting one may define the notion of $(\Gamma ,G)$-bundles over $\widetilde{X}$ and, in this paper, we give a description of these objects in terms of $\mathcal{H}$-bundles on $X$, for an appropriate group $\mathcal{H}$ over $X$ which depends on the local type of the $(\Gamma ,G)$-bundles we intend to parametrize. This extends, and along the way clarifies, an earlier work of Balaji and Seshadri.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.524/ |
| spellingShingle | Damiolini, Chiara On equivariant bundles and their moduli spaces Comptes Rendus. Mathématique |
| title | On equivariant bundles and their moduli spaces |
| title_full | On equivariant bundles and their moduli spaces |
| title_fullStr | On equivariant bundles and their moduli spaces |
| title_full_unstemmed | On equivariant bundles and their moduli spaces |
| title_short | On equivariant bundles and their moduli spaces |
| title_sort | on equivariant bundles and their moduli spaces |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.524/ |
| work_keys_str_mv | AT damiolinichiara onequivariantbundlesandtheirmodulispaces |