An equivariant version of the monodromy zeta function | Zendy

S. M. Guseĭn-Zade | Zendy; I. Luengo | Zendy; A. Melle–Hernàndez | Zendy

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An equivariant version of the monodromy zeta function

Author(s) -

S. M. Guseĭn-Zade,

I. Luengo,

A. Melle–Hernàndez

Publication year - 2008

Publication title -

translations - american mathematical society/translations

Language(s) - English

Resource type - Reports

eISSN - 2472-3193

pISSN - 0065-9290

DOI - 10.1090/trans2/224/06

Subject(s) - equivariant map , monodromy , mathematics , pure mathematics , ring (chemistry) , riemann zeta function , field (mathematics) , type (biology) , singularity , function (biology) , series (stratigraphy) , algebra over a field , mathematical analysis , biology , evolutionary biology , ecology , paleontology , chemistry , organic chemistry

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.

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