Geodesic
Multiplicity and Semicontinuity of the Łojasiewicz Exponent
Tomasz Rodak1 ; Adam Różycki1 ; Stanisław Spodzieja1
1 Faculty of Mathematics and Computer Science University of Łódź S. Banacha 22 90-238 Łódź, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 1, pp. 55-62.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give an effective formula for the improper isolated multiplicity of a polynomial mapping. Using this formula we construct, for a given deformation of a holomorphic mapping with an isolated zero at zero, a stratification of the space of parameters such that the Łojasiewicz exponent is constant on each stratum.
DOI : 10.4064/ba8041-3-2016
Keywords: effective formula improper isolated multiplicity polynomial mapping using formula construct given deformation holomorphic mapping isolated zero zero stratification space parameters ojasiewicz exponent constant each stratum

Tomasz Rodak 1 ; Adam Różycki 1 ; Stanisław Spodzieja 1

1 Faculty of Mathematics and Computer Science University of Łódź S. Banacha 22 90-238 Łódź, Poland 
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Tomasz Rodak; Adam Różycki; Stanisław Spodzieja. Multiplicity and Semicontinuity of the Łojasiewicz Exponent. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 1, pp. 55-62. doi : 10.4064/ba8041-3-2016. http://geodesic.mathdoc.fr/articles/10.4064/ba8041-3-2016/

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