Equivariant zeta functions for invariant Nash germs
Abstract
To any Nash germ invariant under right composition with a linear action of a finite group, we associate its equivariant zeta functions, inspired from motivic zeta functions, using the equivariant virtual Poincaré series as a motivic measure. We show DenefLoeser formulae for the equivariant zeta functions and prove that they are invariants for equivariant blowNash equivalence via equivariant blowNash isomorphisms. Equivariant blowNash equivalence between invariant Nash germs is defined as a generalization involving equivariant data of the blowNash equivalence.
 Publication:

arXiv eprints
 Pub Date:
 March 2014
 arXiv:
 arXiv:1403.1020
 Bibcode:
 2014arXiv1403.1020P
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 Nagoya Mathematical Journal, Duke University Press, 2016