A classification of equivariant principal bundles over nonsingular toric varieties

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2016-12-01

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Biswas, Indranil
Dey, Arijit
Poddar, Mainak

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We classify holomorphic as well as algebraic torus equivariant principal G-bundles over a nonsingular toric variety X, where G is a complex linear algebraic group. It is shown that any such bundle over an affine, nonsingular toric variety admits a trivialization in equivariant sense. We also obtain some splitting results.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/66511

Journal

INTERNATIONAL JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.1142/s0129167x16501159

Collections

Natural Sciences and Mathematics, Article

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Citation Formats

I. Biswas, A. Dey, and M. Poddar, “A classification of equivariant principal bundles over nonsingular toric varieties,” INTERNATIONAL JOURNAL OF MATHEMATICS, pp. 0–0, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66511.