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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Detalles Bibliográficos
Autor: Baño Rollin, Sebastian del
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
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repository_id_str
spelling On the Chow motive of some moduli spacesBaño Rollin, Sebastian delGeometry, AlgebraicMotivesmoduli spacesvector bundlesCiclesFibrats (Matemàtica)Classificació AMS::14 Algebraic geometry::14D Families, fibrationsClassificació AMS::14 Algebraic geometry::14C Cycles and subschemesWe 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.19981998-01-0120072007-04-27journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/787reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 2.5 Spainhttp://creativecommons.org/licenses/by-nc-nd/2.5/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/7872026-05-27T15:37:01Z
dc.title.none.fl_str_mv On the Chow motive of some moduli spaces
title On the Chow motive of some moduli spaces
spellingShingle On the Chow motive of some moduli spaces
Baño Rollin, Sebastian del
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
title_short On the Chow motive of some moduli spaces
title_full On the Chow motive of some moduli spaces
title_fullStr On the Chow motive of some moduli spaces
title_full_unstemmed On the Chow motive of some moduli spaces
title_sort On the Chow motive of some moduli spaces
dc.creator.none.fl_str_mv Baño Rollin, Sebastian del
author Baño Rollin, Sebastian del
author_facet Baño Rollin, Sebastian del
author_role author
dc.subject.none.fl_str_mv 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
topic 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
description 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.
publishDate 1998
dc.date.none.fl_str_mv 1998
1998-01-01
2007
2007-04-27
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/787
url https://hdl.handle.net/2117/787
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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