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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Detalhes bibliográficos
Autores: Melle Hernández, Alejandro, Gusein-Zade, Sabir Medgidovich, Luengo Velasco, Ignacio
Formato: artículo
Fecha de publicación:2008
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/49731
Acesso em linha:https://hdl.handle.net/20.500.14352/49731
Access Level:acceso abierto
Palavra-chave:512.7
Monodromy zeta function
Equivariant Lefschetz number
Grothendieck ring
Geometria algebraica
1201.01 Geometría Algebraica
Descrição
Resumo: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.