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Positivity of Schur function expansions of Thom polynomials

Piotr Pragacz; Andrzej Weber

Fundamenta Mathematicae (2007)

  • Volume: 195, Issue: 1, page 85-95
  • ISSN: 0016-2736

Abstract

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Combining the approach to Thom polynomials via classifying spaces of singularities with the Fulton-Lazarsfeld theory of cone classes and positive polynomials for ample vector bundles, we show that the coefficients of the Schur function expansions of the Thom polynomials of stable singularities are nonnegative with positive sum.

How to cite

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Piotr Pragacz, and Andrzej Weber. "Positivity of Schur function expansions of Thom polynomials." Fundamenta Mathematicae 195.1 (2007): 85-95. <http://eudml.org/doc/282800>.

@article{PiotrPragacz2007,
abstract = {Combining the approach to Thom polynomials via classifying spaces of singularities with the Fulton-Lazarsfeld theory of cone classes and positive polynomials for ample vector bundles, we show that the coefficients of the Schur function expansions of the Thom polynomials of stable singularities are nonnegative with positive sum.},
author = {Piotr Pragacz, Andrzej Weber},
journal = {Fundamenta Mathematicae},
keywords = {Thom polynomial; Schur functions; numerical positivity},
language = {eng},
number = {1},
pages = {85-95},
title = {Positivity of Schur function expansions of Thom polynomials},
url = {http://eudml.org/doc/282800},
volume = {195},
year = {2007},
}

TY - JOUR
AU - Piotr Pragacz
AU - Andrzej Weber
TI - Positivity of Schur function expansions of Thom polynomials
JO - Fundamenta Mathematicae
PY - 2007
VL - 195
IS - 1
SP - 85
EP - 95
AB - Combining the approach to Thom polynomials via classifying spaces of singularities with the Fulton-Lazarsfeld theory of cone classes and positive polynomials for ample vector bundles, we show that the coefficients of the Schur function expansions of the Thom polynomials of stable singularities are nonnegative with positive sum.
LA - eng
KW - Thom polynomial; Schur functions; numerical positivity
UR - http://eudml.org/doc/282800
ER -

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