Thom polynomials and Schur functions: the singularities $I_{2,2}(-)$

[Polynômes de Thom et fonctions de Schur : les singularités $I_{2,2}(-)$]

Pragacz, Piotr

Annales de l'Institut Fourier, Tome 57 (2007), p. 1487-1508 / Harvested from Numdam

Résumé

Nous présentons les polynômes de Thom pour les singularités $I_{2,2}$ associées aux applications $({\mathbb{C}}^{\bullet },0) \rightarrow ({\mathbb{C}}^{\bullet +k},0)$ de paramètre $k\ge 0$. Nos calculs combinent la caractérisation des polynômes de Thom via la « méthode des équations restreintes » de Rimanyi et al. avec les techniques des fonctions de Schur.

Abstract

We give the Thom polynomials for the singularities $I_{2,2}$ associated with maps $({\mathbb{C}}^{ \bullet },0) \rightarrow ({\mathbb{C}}^{\bullet +k},0)$ with parameter $k\ge 0$. Our computations combine the characterization of Thom polynomials via the “method of restriction equations” of Rimanyi et al. with the techniques of Schur functions.

Détail

Publié le : 2007-01-01

MR 2364137 | Zbl 1126.05099

DOI : https://doi.org/10.5802/aif.2302
Classification:  05E05,  14N10,  57R45
Mots clés: polynômes de Thom, singularités, fonctions de Schur

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