Equivariant Poincaré series and monodromy zeta functions of quasihomogeneous polynomials

2011/06/07 by Ebeling, Wolfgang, Gusein-Zade, Sabir M.
#13D40 #19A22 #32S40 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1106.1284

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.

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