1 citations · 1 across the 5 of their papers we have counts for
5 papers
Solutions of polynomial equations in several variables modulo a prime power
Arnaud Bodin, Christian Drouin
We explain how to obtain the set of solutions of a multivariate polynomial equation modulo a power of a prime number. These solutions are determined by a tree, called the trunk, wh…
Solutions of a polynomial equation modulo a prime power
Arnaud Bodin, Christian Drouin
How do you find the integer solutions of a polynomial equation modulo an integer?
Around the gcd of the values of two polynomials
Arnaud Bodin, Christian Drouin
We propose a mathematical walk around the gcd of the values and of two polynomials evaluated at an integer . This is an opportunity to use a very powerful tool: th…
Combinatorial study of morsifications of real univariate singularities
Arnaud Bodin, Evelia Rosa García Barroso, Patrick Popescu-Pampu +1
We study a broad class of morsifications of germs of univariate real analytic functions. We characterize the combinatorial types of the resulting Morse functions, via planar contac…
Invariance of Milnor numbers and topology of complex polynomials
Arnaud Bodin
We give a global version of Le-Ramanujam mu-constant theorem for polynomials. Let f_t, (t in [0,1]), be a family of polynomials of n complex variables with isolated singularities,…