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

Pragacz, Piotr

Annales de l'Institut Fourier, Tome 57 (2007) no. 5, pp. 1487-1508.

Nous présentons les polynômes de Thom pour les singularités $I_{2,2}$ associées aux applications $({ℂ}^{•},0)\to ({ℂ}^{•+k},0)$ 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.

We give the Thom polynomials for the singularities $I_{2,2}$ associated with maps $({ℂ}^{•},0)\to ({ℂ}^{•+k},0)$ 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.

Classification : 05E05, 14N10, 57R45
Keywords: Thom polynomials, singularities, global singularity theory, classes of degeneracy loci, Schur functions, resultants
Mot clés : polynômes de Thom, singularités, fonctions de Schur

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