dc.contributor.author |
Biswas, Indranil |
en_US |
dc.contributor.author |
Dey, Arijit |
en_US |
dc.contributor.author |
PODDAR, MAINAK |
en_US |
dc.date.accessioned |
2020-03-27T04:13:39Z |
|
dc.date.available |
2020-03-27T04:13:39Z |
|
dc.date.issued |
2020-12 |
en_US |
dc.identifier.citation |
Transformation Groups, 25(4), 1009–1035. |
en_US |
dc.identifier.issn |
1531-586X |
en_US |
dc.identifier.issn |
1083-4362 |
en_US |
dc.identifier.uri |
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4508 |
|
dc.identifier.uri |
https://doi.org/10.1007/s00031-020-09557-5 |
en_US |
dc.description.abstract |
Let X be a complete toric variety equipped with the action of a torus T, and G a reductive algebraic group, defined over an algebraically closed field K. We introduce the notion of a compatible ∑-filtered algebra associated to X, generalizing the notion of a compatible ∑-filtered vector space due to Klyachko, where ∑ denotes the fan of X. We combine Klyachko's classification of T-equivariant vector bundles on X with Nori's Tannakian approach to principal G-bundles, to give an equivalence of categories between T-equivariant principal G-bundles on X and certain compatible ∑-filtered algebras associated to X, when the characteristic of K is 0. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Springer Nature |
en_US |
dc.subject |
Mathematics |
en_US |
dc.subject |
TOC-MAR-2020 |
en_US |
dc.subject |
2020 |
en_US |
dc.subject |
2020-MAR-WEEK4 |
en_US |
dc.title |
Tannakian Classification of Equivariant Principal Bundles on Toric Varieties |
en_US |
dc.type |
Article |
en_US |
dc.contributor.department |
Dept. of Mathematics |
en_US |
dc.identifier.sourcetitle |
Transformation Groups |
en_US |
dc.publication.originofpublisher |
Foreign |
en_US |