| Título: | Hodge polynomials of the moduli spaces of triples of rank (2,2). |
| Autores: | Muñoz, Vicente ; Ortega, Daniel ; Vázquez Gallo, M. Jesús |
| Tipo de documento: | texto impreso |
| Editorial: | Oxford University Press, 2009 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/openAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Geometria algebraica , Tipo = Artículo |
| Resumen: |
Let X be a smooth projective curve of genus g ? 2 over the complex numbers. A holomorphic triple (E1, E2, ?) on X consists of two holomorphic vector bundles E1 and E2 over X and a holomorphic map ?: E2 ? E1. There is a concept of stability for triples which depends on a real parameter ?. In this paper, we determine the Hodge polynomials of the moduli spaces of ?-stable triples with rk(E1) = rk(E2) = 2, using the theory of mixed Hodge structures (in the cases that they are smooth and compact). This gives in particular the Poincar´e polynomials of these moduli spaces. As a byproduct, we also give the Hodge polynomial of the moduli space of even degree rank 2 stable vector bundles. |
| En línea: | https://eprints.ucm.es/id/eprint/20887/1/VMu%C3%B1oz27ibre.pdf |
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