A classification of equivariant principal bundles over nonsingular toric varieties

Indranil Biswas; Arijit Dey; Mainak Poddar

A classification of equivariant principal bundles over nonsingular toric varieties

Algebraic Geometry 2015-10-15 v1

Authors: Indranil Biswas , Arijit Dey , Mainak Poddar

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.

Keywords

equivariant principal bundles nonsingular toric varieties holomorphic bundles algebraic torus trivialization splitting

Cite

@article{arxiv.1510.04014,
  title  = {A classification of equivariant principal bundles over nonsingular toric varieties},
  author = {Indranil Biswas and Arijit Dey and Mainak Poddar},
  journal= {arXiv preprint arXiv:1510.04014},
  year   = {2015}
}

Comments

14 pages

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