RT Journal Article
T1 Equivariant vector bundles and logarithmic connections on toric varieties
A1 Biswas, Indranil
A1 Muñoz, Vicente
A1 Sánchez Hernández, Jonathan
AB Let X be a smooth complete complex toric variety such that the boundary is a simple normal crossing divisor, and let E be a holomorphic vector bundle on X. We prove that the following three statements are equivalent: The holomorphic vector bundle E admits an equivariant structure. The holomorphic vector bundle E admits an integrable logarithmic connection singular over D. The holomorphic vector bundle E admits a logarithmic connection singular over D. We show that an equivariant vector bundle on X has a tautological integrable logarithmic connection singular over D. This is used in computing the Chern classes of the equivariant vector bundles on X. We also prove a version of the above result for holomorphic vector bundles on log parallelizable G-pairs (X, D), where G is a simply connected complex affine algebraic group
PB Academic Press
SN 0021-8693
YR 2013
FD 2013-06
LK https://hdl.handle.net/20.500.14352/33320
UL https://hdl.handle.net/20.500.14352/33320
LA eng
NO MCINN
DS Docta Complutense
RD 5 may 2024