Positivity of Schur function expansions of Thom polynomials

Positivity of Schur function expansions of Thom polynomials
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Thom 多项式的 Schur 函数展开式的正性

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发表时间:
2006
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影响因子:
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通讯作者:
A. Weber
A. Weber
中科院分区:
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文献类型:
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作者:
P. Pragacz;A. Weber

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将通过奇点空间的分类来研究Thom多项式的方法与Fulton-Lazarsfeld的锥类理论和充分向量丛的正多项式理论相结合,我们证明了稳定奇点Thom多项式的Schur函数展开式的系数是非负的且具有正和.
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 coefcients of the Schur function expansions of the Thom polynomials of stable singularities are nonnegative with positive sum.