Equivariant Poincaré series and monodromy zeta functions of quasihomogeneous polynomials

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Wolfgang Ebeling
  • Sabir M. Gusein-Zade

Organisationseinheiten

Externe Organisationen

  • Lomonosov Moscow State University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)653-660
Seitenumfang8
FachzeitschriftPublications of the Research Institute for Mathematical Sciences
Jahrgang48
Ausgabenummer3
PublikationsstatusVeröffentlicht - 2012

Abstract

In earlier work, the authors described a relation between the Poincaré series and the classical monodromy zeta function corresponding to a quasihomogeneous polynomial. Here we formulate an equivariant version of this relation in terms of the Burnside rings of finite abelian groups and their analogues.

ASJC Scopus Sachgebiete

Zitieren

Equivariant Poincaré series and monodromy zeta functions of quasihomogeneous polynomials. / Ebeling, Wolfgang; Gusein-Zade, Sabir M.
in: Publications of the Research Institute for Mathematical Sciences, Jahrgang 48, Nr. 3, 2012, S. 653-660.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Download
@article{1fd18b22445241e6af1c4d4e43e97b2a,
title = "Equivariant Poincar{\'e} series and monodromy zeta functions of quasihomogeneous polynomials",
abstract = "In earlier work, the authors described a relation between the Poincar{\'e} series and the classical monodromy zeta function corresponding to a quasihomogeneous polynomial. Here we formulate an equivariant version of this relation in terms of the Burnside rings of finite abelian groups and their analogues. ",
keywords = "Burnside rings, Group actions, Poincar{\'e} Series, Zeta functions",
author = "Wolfgang Ebeling and Gusein-Zade, {Sabir M.}",
note = "Copyright: Copyright 2012 Elsevier B.V., All rights reserved.",
year = "2012",
doi = "10.2977/PRIMS/85",
language = "English",
volume = "48",
pages = "653--660",
journal = "Publications of the Research Institute for Mathematical Sciences",
issn = "0034-5318",
publisher = "European Mathematical Society Publishing House",
number = "3",

}

Download

TY - JOUR

T1 - Equivariant Poincaré series and monodromy zeta functions of quasihomogeneous polynomials

AU - Ebeling, Wolfgang

AU - Gusein-Zade, Sabir M.

N1 - Copyright: Copyright 2012 Elsevier B.V., All rights reserved.

PY - 2012

Y1 - 2012

N2 - In earlier work, the authors described a relation between the Poincaré series and the classical monodromy zeta function corresponding to a quasihomogeneous polynomial. Here we formulate an equivariant version of this relation in terms of the Burnside rings of finite abelian groups and their analogues.

AB - In earlier work, the authors described a relation between the Poincaré series and the classical monodromy zeta function corresponding to a quasihomogeneous polynomial. Here we formulate an equivariant version of this relation in terms of the Burnside rings of finite abelian groups and their analogues.

KW - Burnside rings

KW - Group actions

KW - Poincaré Series

KW - Zeta functions

UR - http://www.scopus.com/inward/record.url?scp=84866859078&partnerID=8YFLogxK

U2 - 10.2977/PRIMS/85

DO - 10.2977/PRIMS/85

M3 - Article

AN - SCOPUS:84866859078

VL - 48

SP - 653

EP - 660

JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

SN - 0034-5318

IS - 3

ER -