A+ CATEGORY SCIENTIFIC UNIT

Analytic expansions and Poincaré series

Antonio Campillo, Raquel Melgar Annales Polonici Mathematici MSC: Primary 16W60; Secondary 14B05 DOI: 10.4064/ap241222-21-10 Published online: 30 December 2025

Abstract

We study graded analytic expansions associated with suitable Laurent power series using Brion type maps. These methods allow us to analytically compute Poincaré series, both in the algebraic setting of polyhedra and in the topological setting of singularities.

Authors

  • Antonio CampilloDepartamento de Álgebra,
    Análisis Matemático, Geometría y Topología
    Facultad de Ciencias
    Universidad de Valladolid
    47011 Valladolid, Spain
    e-mail
  • Raquel MelgarLaBRI
    Université de Bordeaux
    33405 Talence, France
    e-mail

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