Thom polynomials and Schur functions: the singularities I 2 , 2 ( - )

Piotr Pragacz[1]

  • [1] Institute of Mathematics of Polish Academy of Sciences Sniadeckich 8 00-956 Warszawa (Poland)

Annales de l’institut Fourier (2007)

  • Volume: 57, Issue: 5, page 1487-1508
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Pragacz, Piotr. "Thom polynomials and Schur functions: the singularities $I_{2,2}(-)$." Annales de l’institut Fourier 57.5 (2007): 1487-1508. <http://eudml.org/doc/10266>.

@article{Pragacz2007,
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.},
affiliation = {Institute of Mathematics of Polish Academy of Sciences Sniadeckich 8 00-956 Warszawa (Poland)},
author = {Pragacz, Piotr},
journal = {Annales de l’institut Fourier},
keywords = {Thom polynomials; singularities; global singularity theory; classes of degeneracy loci; Schur functions; resultants},
language = {eng},
number = {5},
pages = {1487-1508},
publisher = {Association des Annales de l’institut Fourier},
title = {Thom polynomials and Schur functions: the singularities $I_\{2,2\}(-)$},
url = {http://eudml.org/doc/10266},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Pragacz, Piotr
TI - Thom polynomials and Schur functions: the singularities $I_{2,2}(-)$
JO - Annales de l’institut Fourier
PY - 2007
PB - Association des Annales de l’institut Fourier
VL - 57
IS - 5
SP - 1487
EP - 1508
AB - 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.
LA - eng
KW - Thom polynomials; singularities; global singularity theory; classes of degeneracy loci; Schur functions; resultants
UR - http://eudml.org/doc/10266
ER -

References

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