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arXiv · 1510.04014

A classification of equivariant principal bundles over nonsingular toric varieties

Indranil Biswas·Arijit Dey·Mainak Poddar
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Abstract

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.

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Indranil Biswas, Arijit Dey, Mainak Poddar. 2015-10-14. A classification of equivariant principal bundles over nonsingular toric varieties. https://arxiv.org/abs/1510.04014

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