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arXiv · 1305.6689

Equivariant principal bundles on nonsingular toric varieties

Arijit Dey·Mainak Poddar
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Abstract

We give a classification of the equivariant principal $G$-bundles on a nonsingular toric variety when $G$ is a closed Abelian subgroup of $GL_k(\mathbb{C})$. We prove that any such bundle splits, that is, admits a reduction of structure group to the intersection of $G$ with a torus. We give an explicit parametrization of the isomorphism classes of such bundles for a large family of $G$ when $X$ is complete.

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Arijit Dey, Mainak Poddar. 2013-11-21. Equivariant principal bundles on nonsingular toric varieties. https://arxiv.org/abs/1305.6689

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