Geodesic
Polynomials in One Variable and Ranks of Certain Tangent Maps
Matematičeskie zametki, Tome 91 (2012) no. 4, pp. 539-550.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the 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 Yu. S. Ilyashenko.
Mots-clés : complex polynomial in one variable, tangent map, multipliers.
Keywords: fixed points 
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Yu. G. Zarhin. Polynomials in One Variable and Ranks of Certain Tangent Maps. Matematičeskie zametki, Tome 91 (2012) no. 4, pp. 539-550. http://geodesic.mathdoc.fr/item/MZM_2012_91_4_a6/

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