泛舒伯特多项式
Universal Schubert polynomials
摘要:
我们引入了表示向量丛映射的一般退化轨迹的多项式。这些多项式专门用于已知的经典和量子形式的单和双舒伯特多项式。这是该论文的最终版本,发表在《杜克大学数学杂志》上。结果得到了加强,因为拉克什米拜和马扎尔证明了一个来自前一版本的猜想:在普遍情况下,这些轨迹是科恩-麦考利。
英文摘要:
We introduce polynomials that represent general degeneracy loci for maps of vector bundles. These polynomials specialize to the known classical and quantum forms of single and double Schubert polynomials. This is the final version of the paper, to appear in Duke Math. J. The results are strengthened because Lakshmibai and Magyar have proved a conjecture from the previous version: in the universal case, these loci are Cohen-Macaulay.
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