On the Chow motive of some moduli spaces
We study the motive of moduli spaces of stable vector bundles over a smooth projective curve. We prove this motive lies in the category generated by the motive of the curve and we compute its class in the Grothendieck ring of the category of motives. As applications we compute the Poincaré-Hodge pol...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1998 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/787 |
| Acceso en línea: | https://hdl.handle.net/2117/787 |
| Access Level: | acceso abierto |
| Palabra clave: | Geometry, Algebraic Motives moduli spaces vector bundles Cicles Fibrats (Matemàtica) Classificació AMS::14 Algebraic geometry::14D Families, fibrations Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes |
| Sumario: | We study the motive of moduli spaces of stable vector bundles over a smooth projective curve. We prove this motive lies in the category generated by the motive of the curve and we compute its class in the Grothendieck ring of the category of motives. As applications we compute the Poincaré-Hodge polynomials and the number of points over a finite field and we study some conjectures on algebraic cycles on these moduli spaces. |
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