Hölder Invariance of the Henry–Parusiński Invariant

Moscow Mathematical Journal 2026 Open access

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Authors: Alexandre Fernandes, José Edson Sampaio, Joserlan Perote da Silva
DOI: 10.17323/1609-4514-2026-26-2-145-161
Cited by: 0

Abstract

In this article, we show the Hölder invariance of the Henry-Parusinski invariant. For a single germ $ f$, the Henry-Parusinski invariant of $ f $ is given in terms of the leading coefficients of the asymptotic expansion of $ f $ along the branches of the generic polar curve of $f$. As a consequence, we obtain that the classification problem of polynomial function-germs, with uniformly bounded degree, under Hölder equivalence, admits continuous moduli.

Fields of Study & Subjects

Holomorphic and Operator Theory Advanced Topics in Algebra Advanced Algebra and Geometry

Publication details

Journal / source
Moscow Mathematical Journal
Publisher
National Research University, Higher School of Economics (HSE)
Volume
26
Issue
2
Pages
145–161
Publication date
1 January 2026
Language
EN