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 
@article{MZM_2012_91_4_a6,
     author = {Yu. G. Zarhin},
     title = {Polynomials in {One} {Variable} and {Ranks} of {Certain} {Tangent} {Maps}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {539--550},
     publisher = {mathdoc},
     volume = {91},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_4_a6/}
}
TY  - JOUR
AU  - Yu. G. Zarhin
TI  - Polynomials in One Variable and Ranks of Certain Tangent Maps
JO  - Matematičeskie zametki
PY  - 2012
SP  - 539
EP  - 550
VL  - 91
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2012_91_4_a6/
LA  - ru
ID  - MZM_2012_91_4_a6
ER  - 
%0 Journal Article
%A Yu. G. Zarhin
%T Polynomials in One Variable and Ranks of Certain Tangent Maps
%J Matematičeskie zametki
%D 2012
%P 539-550
%V 91
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2012_91_4_a6/
%G ru
%F MZM_2012_91_4_a6
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/