INTERNATIONAL JOURNAL OF MATHEMATICS, vol.27, no.14, 2016 (Journal Indexed in SCI)
Article / Article
Title of Journal :
INTERNATIONAL JOURNAL OF MATHEMATICS
Toric varieties, equivariant bundles, principal bundles, VECTOR-BUNDLES
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.