English

Singularities Admitting Contracting Automorphisms

Complex Variables 2024-12-17 v1

Abstract

Given a complex analytic singularity (X,0)(X, 0), we show that if there exists an automorphism F:(X,0)(X,0)F: (X, 0) \to (X, 0) that is contracting, then (X,0)(X, 0) is quasi-homogeneous.

Keywords

Cite

@article{arxiv.2412.11583,
  title  = {Singularities Admitting Contracting Automorphisms},
  author = {Kémo Morvan},
  journal= {arXiv preprint arXiv:2412.11583},
  year   = {2024}
}
R2 v1 2026-06-28T20:36:39.131Z