English

A bi-Lipschitz invariant for analytic function germs

Algebraic Geometry 2025-04-25 v1

Abstract

In this paper, we introduce a new bi-Lipschitz invariant for analytic function germs in two variables, enhancing the Henry-Parusinski invariant.

Cite

@article{arxiv.2504.17250,
  title  = {A bi-Lipschitz invariant for analytic function germs},
  author = {Nhan Nguyen},
  journal= {arXiv preprint arXiv:2504.17250},
  year   = {2025}
}

Comments

Originally posted on ResearchGate in September 2024. This version includes minor corrections. We note that an extension of our result appears in the recent preprint by Migus, Paunescu and Tibar (https://arxiv.org/pdf/2504.13671)

R2 v1 2026-06-28T23:09:22.832Z