On the separation \L ojasiewicz exponents of real analytic sets in the real plane
Algebraic Geometry
2026-03-18 v2 Complex Variables
Abstract
The main aim of the paper is to give a formula for computing the separation \L ojasiewicz exponents for two real analytic set germs via the Newton--Puiseux expansions of their defining functions. Moreover, we present an effective exponent for the case of two real algebraic sets in terms of their degrees.
Cite
@article{arxiv.2603.15532,
title = {On the separation \L ojasiewicz exponents of real analytic sets in the real plane},
author = {Phi Dung Hoang and Hong Duc Nguyen},
journal= {arXiv preprint arXiv:2603.15532},
year = {2026}
}
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