3 papers
math.CA2022
Limits of real bivariate rational functions
Si Tiep Dinh, Feng Guo, Hong Duc Nguyen +1
Given two nonzero polynomials and a point we give some necessary and sufficient conditions for the existence of the limit $\disp…
math.AG2019
Parametrization simple irreducible plane curve singularities in arbitrary characteristic
Hong-Duc Nguyen
We study the classification of plane curve singularities in arbitrary characteristic. We first give a bound for the determinacy of a plane curve singularity with respect to pararam…
math.AG2015
Right unimodal and bimodal singularities in positive characteristic
Hong Duc Nguyen
The problem of classification of real and complex singularities was initiated by Arnol'd in the sixties who classified simple, unimodal and bimodal w.r.t. right equivalence. The cl…