Generalised Poincaré series and embedded resolution of curves

Abstract

The purpose of this paper is to extend the notions of generalised Poincaré series and divisorial generalised Poincaré series (of motivic nature) introduced by Campillo, Delgado and Gusein-Zade for complex curve singularities to curves defined over perfect fields, as well as to express them in terms of an embedded resolution of curves.

To appear in Monatshefte für Mathematik, on-line first publication

References in corpus (5)

• The Grothendieck ring of varieties is not a domain
• Multi-index filtrations and motivic Poincare series
• Curvettes and clusters of infinitely near points
• A short course on geometric motivic integration
• The Alexander polynomial of a plane curve singularity and the ring of functions on it

Cited by in corpus (1)

• Curvettes and clusters of infinitely near points