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arXiv · 2603.15532

On the separation \L ojasiewicz exponents of real analytic sets in the real plane

Phi Dung Hoang·Hong Duc Nguyen
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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.

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Phi Dung Hoang, Hong Duc Nguyen. 2026-03-16. On the separation \L ojasiewicz exponents of real analytic sets in the real plane. https://arxiv.org/abs/2603.15532

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