A classification of equivariant principal bundles over nonsingular toric varieties-Reference-Cited by-同舟云学术

A classification of equivariant principal bundles over nonsingular toric varieties

Published:2016-12 Issue:14 Volume:27 Page:1650115
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Biswas Indranil¹,Dey Arijit²,Poddar Mainak³

Affiliation:

1. School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India

2. Department of Mathematics, Indian Institute of Technology-Madras, Chennai, India

3. Middle East Technical University, Northern Cyprus Campus, Guzelyurt, KKTC, Mersin 10, Turkey

Abstract

We classify holomorphic as well as algebraic torus equivariant principal [Formula: see text]-bundles over a nonsingular toric variety [Formula: see text], where [Formula: see text] 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X16501159

Reference11 articles.

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2. Introduction to Toric Varieties. (AM-131)

3. Equivariant bundles and isotropy representations

4. Varieties of small codimension in projective space

5. An equivariant version of Grauert's Oka principle

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