A classification of equivariant principal bundles over nonsingular toric varieties
INTERNATIONAL JOURNAL OF MATHEMATICS, vol.27, no.14, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 27 Issue: 14
- Publication Date: 2016
- Doi Number: 10.1142/s0129167x16501159
- Journal Name: INTERNATIONAL JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: Toric varieties, equivariant bundles, principal bundles, VECTOR-BUNDLES
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
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.