dc.contributor.author |
Khan, Bivas |
en_US |
dc.contributor.author |
PODDAR, MAINAK |
en_US |
dc.date.accessioned |
2024-10-29T06:44:39Z |
|
dc.date.available |
2024-10-29T06:44:39Z |
|
dc.date.issued |
2025-01 |
en_US |
dc.identifier.citation |
Journal of Pure and Applied Algebra, 229(01), 107816. |
en_US |
dc.identifier.issn |
1873-1376 |
en_US |
dc.identifier.issn |
0022-4049 |
en_US |
dc.identifier.uri |
https://doi.org/10.1016/j.jpaa.2024.107816 |
en_US |
dc.identifier.uri |
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9141 |
|
dc.description.abstract |
Let X be a complete variety over an algebraically closed field k of characteristic zero, equipped with an action of an algebraic group G. Let H be a reductive group. We study the notion of G-connection on a principal H-bundle. We give necessary and sufficient criteria for the existence of G-connections extending the Atiyah-Weil type criterion for holomorphic connections obtained by Azad and Biswas. We also establish a relationship between the existence of G-connection and equivariant structure on a principal H-bundle, under the assumption that G is semisimple and simply connected. These results have been obtained by Biswas et al. when the underlying variety is smooth. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Elsevier B.V. |
en_US |
dc.subject |
Principal bundle |
en_US |
dc.subject |
Group action |
en_US |
dc.subject |
Complete variety |
en_US |
dc.subject |
G-connection |
en_US |
dc.subject |
Toric variety |
en_US |
dc.subject |
2025 |
en_US |
dc.subject |
2024-OCT-WEEK2 |
en_US |
dc.subject |
TOC-OCT-2024 |
en_US |
dc.title |
G-connections on principal bundles over complete G-varieties |
en_US |
dc.type |
Article |
en_US |
dc.contributor.department |
Dept. of Mathematics |
en_US |
dc.identifier.sourcetitle |
Journal of Pure and Applied Algebra |
en_US |
dc.publication.originofpublisher |
Foreign |
en_US |