no. 5
Thom polynomials and Schur functions: the singularities I 2,2 (-)
[Polynômes de Thom et fonctions de Schur : les singularités I 2,2 (-)]
Pragacz, Piotr1
1 Institute of Mathematics of Polish Academy of Sciences Sniadeckich 8 00-956 Warszawa (Poland)
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)→(ℂ •+k ,0) de paramètre k≥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)→(ℂ •+k ,0) with parameter k≥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.

DOI : 10.5802/aif.2302
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

Pragacz, Piotr 1

1 Institute of Mathematics of Polish Academy of Sciences Sniadeckich 8 00-956 Warszawa (Poland) 
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Pragacz, Piotr. Thom polynomials and Schur functions: the singularities $I_{2,2}(-)$. Annales de l'Institut Fourier, Tome 57 (2007) no. 5, pp. 1487-1508. doi : 10.5802/aif.2302. https://aif.centre-mersenne.org/articles/10.5802/aif.2302/

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