An equivariant version of the monodromy zeta function

We offer an equivariant version of the classical monodromy zeta function of a singularity as a series with coefficients from the Grothendieck ring of finite G-sets tensored by the field of rational numbers. Main two ingredients of the definition are equivariant Lefschetz numbers and the λ-structure...

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Detalles Bibliográficos
Autores: Melle Hernández, Alejandro, Gusein-Zade, Sabir Medgidovich, Luengo Velasco, Ignacio
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/49731
Acceso en línea:https://hdl.handle.net/20.500.14352/49731
Access Level:acceso abierto
Palabra clave:512.7
Monodromy zeta function
Equivariant Lefschetz number
Grothendieck ring
Geometria algebraica
1201.01 Geometría Algebraica
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spelling An equivariant version of the monodromy zeta functionMelle Hernández, AlejandroGusein-Zade, Sabir MedgidovichLuengo Velasco, Ignacio512.7Monodromy zeta functionEquivariant Lefschetz numberGrothendieck ringGeometria algebraica1201.01 Geometría AlgebraicaWe offer an equivariant version of the classical monodromy zeta function of a singularity as a series with coefficients from the Grothendieck ring of finite G-sets tensored by the field of rational numbers. Main two ingredients of the definition are equivariant Lefschetz numbers and the λ-structure on the Grothendieck ring of finite G-sets. We give an A’Campo type formula for the equivariant zeta function.American Mathematical SocietyUniversidad Complutense de Madrid20082008-01-0120082008-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/49731reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/497312026-06-02T12:44:21Z
dc.title.none.fl_str_mv An equivariant version of the monodromy zeta function
title An equivariant version of the monodromy zeta function
spellingShingle An equivariant version of the monodromy zeta function
Melle Hernández, Alejandro
512.7
Monodromy zeta function
Equivariant Lefschetz number
Grothendieck ring
Geometria algebraica
1201.01 Geometría Algebraica
title_short An equivariant version of the monodromy zeta function
title_full An equivariant version of the monodromy zeta function
title_fullStr An equivariant version of the monodromy zeta function
title_full_unstemmed An equivariant version of the monodromy zeta function
title_sort An equivariant version of the monodromy zeta function
dc.creator.none.fl_str_mv Melle Hernández, Alejandro
Gusein-Zade, Sabir Medgidovich
Luengo Velasco, Ignacio
author Melle Hernández, Alejandro
author_facet Melle Hernández, Alejandro
Gusein-Zade, Sabir Medgidovich
Luengo Velasco, Ignacio
author_role author
author2 Gusein-Zade, Sabir Medgidovich
Luengo Velasco, Ignacio
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 512.7
Monodromy zeta function
Equivariant Lefschetz number
Grothendieck ring
Geometria algebraica
1201.01 Geometría Algebraica
topic 512.7
Monodromy zeta function
Equivariant Lefschetz number
Grothendieck ring
Geometria algebraica
1201.01 Geometría Algebraica
description We offer an equivariant version of the classical monodromy zeta function of a singularity as a series with coefficients from the Grothendieck ring of finite G-sets tensored by the field of rational numbers. Main two ingredients of the definition are equivariant Lefschetz numbers and the λ-structure on the Grothendieck ring of finite G-sets. We give an A’Campo type formula for the equivariant zeta function.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01
2008
2008-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/49731
url https://hdl.handle.net/20.500.14352/49731
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
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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