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DC Field | Value | Language |
---|---|---|
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 |
Appears in Collections: | JOURNAL ARTICLES |
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