Polynomials in one variable and ranks of certain tangent maps
Algebraic Geometry
2011-05-26 v4 Dynamical Systems
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.
Cite
@article{arxiv.1010.0282,
title = {Polynomials in one variable and ranks of certain tangent maps},
author = {Yuri G. Zarhin},
journal= {arXiv preprint arXiv:1010.0282},
year = {2011}
}
Comments
Remark 3.5 has been corrected/updated