Polynomials in one variable and ranks of certain tangent maps
classification
🧮 math.AG
math.DS
keywords
rootsanswercertaincollectioncomplexdegreederivativegive
read the original 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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