3 papers
math.AG2026
On the separation Łojasiewicz exponents of real analytic sets in the real plane
Phi Dung Hoang, Hong Duc Nguyen
The main aim of the paper is to give a formula for computing the separation Łojasiewicz exponents for two real analytic set germs via the Newton--Puiseux expansions of their defini…
math.AG2019
Fedoryuk values and stability of global Hölderian error bounds for polynomial functions
Huy-Vui Hà, Phi-Dũng Hoàng
Let be a polynomial function of variables. In this paper, we study stability of global Hölderian error bound for a nonempty sublevel set under a perturbation of…
math.AG2017
Topological invariants of plane curve singularities: Polar quotients and Łojasiewicz gradient exponents
Hong-Duc Nguyen, Tien-Son Pham, Phi-Dung Hoang
In this paper, we study polar quotients and Łojasiewicz exponents of plane curve singularities, which are {\em not necessarily reduced}. We first show that the polar quotients is a…