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G-connections on principal bundles over complete G-varieties

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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


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