论文标题
与特殊舒伯特品种有关的多项式身份
Polynomial identities related to Special Schubert varieties
论文作者
论文摘要
令$ \ Mathcal S $为单个条件Schubert品种，具有任意数量的地层。最近，在第二作者的论文中获得了应用于这种多样性的分解定理所涉及的汇总的明确描述。从这个结果开始，我们通过$ \ Mathcal s $的庞加莱多项式提供了一个明确的描述，它通过其地层的庞加莱多项式来提供，与当地和全球点视图相关的多项式多项式的多项式认同，与几个帕曼尼亚人的多项式认同获得了有趣的多项式身份。我们还对这些身份的特定情况进行了符号研究。
Let $\mathcal S$ be a single condition Schubert variety with an arbitrary number of strata. Recently, an explicit description of the summands involved in the decomposition theorem applied to such a variety has been obtained in a paper of the second author. Starting from this result, we provide an explicit description of the Poincaré polynomials of the intersection cohomology of $\mathcal S$ by means of the Poincaré polynomials of its strata, obtaining interesting polynomial identities relating Poincaré polynomials of several Grassmannians, both by a local and by a global point of view. We also present a symbolic study of a particular case of these identities.
