English

Lojasiewicz exponent of a surface: an intrinsic view

Algebraic Geometry 2024-03-01 v4

Abstract

In this paper we observe that the {\L}ojasiewicz exponent L0(X)\mathcal{L}_0(X) of an ADE-type singularity XX can be computed by means of invariants of certain ideals in the local ring OX,0{\mathcal O}_{X,0}. After extending the notion of {\L}ojasiewicz exponent to rational singularities of higher multiplicities we make a similar observation for RTP-type singularities.

Cite

@article{arxiv.2002.08706,
  title  = {Lojasiewicz exponent of a surface: an intrinsic view},
  author = {Emel Bilgin and Gülay Kaya and Meral Tosun},
  journal= {arXiv preprint arXiv:2002.08706},
  year   = {2024}
}
R2 v1 2026-06-23T13:48:01.042Z