On the Chow motive of some moduli spaces

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor.author	Baño Rollin, Sebastian del
dc.date	1998
dc.identifier.uri	http://hdl.handle.net/2117/787
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Geometry, Algebraic
dc.subject	Motives
dc.subject	moduli spaces
dc.subject	vector bundles
dc.subject	Cicles
dc.subject	Fibrats (Matemàtica)
dc.subject	Classificació AMS::14 Algebraic geometry::14D Families, fibrations
dc.subject	Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes
dc.title	On the Chow motive of some moduli spaces
dc.type	info:eu-repo/semantics/article
dc.description.abstract	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.