| Título: | Equivariant vector bundles and logarithmic connections on toric varieties |
| Autores: | Biswas, Indranil ; Muñoz, Vicente ; Sánchez Hernández, Jonathan |
| Tipo de documento: | texto impreso |
| Editorial: | Academic Press, 2013-06 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/restrictedAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas , Tipo = Artículo |
| Resumen: |
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 |
| En línea: | https://eprints.ucm.es/id/eprint/22154/1/VMu%C3%B1oz75elsevier.pdf |
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