English

Computation of the \L ojasiewicz exponents of real bivariate analytic functions

Algebraic Geometry 2024-05-13 v1 Complex Variables

Abstract

The main goal of this paper is to present some explicit formulas for computing the {{\L}}ojasiewicz exponent in the {{\L}}ojasiewicz inequality comparing the rate of growth of two real bivariate analytic function germs.

Keywords

Cite

@article{arxiv.2405.06302,
  title  = {Computation of the \L ojasiewicz exponents of real bivariate analytic functions},
  author = {Si Tiep Dinh and Feng Guo and Hong Duc Nguyen and Tien Son Pham},
  journal= {arXiv preprint arXiv:2405.06302},
  year   = {2024}
}