Polynomials in one variable and ranks of certain tangent maps

2010/10/02 by Zarhin, Yuri G.
#14A25 #37F10 #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1010.0282

Abstract

We study a map that sends a monic degree n complex polynomial f(x) without multiple roots to the collection of n values of its derivative at the roots of f(x). We give an answer to a question posed by Ju.S. Ilyashenko.

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