塞沙德里分层与舒伯特变体：标准单项式理论的几何构造

Pub Date : 2024-03-26 DOI:10.4310/pamq.2024.v20.n1.a5

Rocco Chirivì, Xin Fang, Peter Littelmann

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引用次数: 0

摘要

利用（1）舒伯特子变量对舒伯特变量的塞沙德里分层的几何性质和（2）德马祖模的组合 LS 路径特征公式，构建了舒伯特变量的标准单项式理论。通过使用部分阶的任意线性化和弱化平衡分层的定义，改进了塞沙德里分层的一般理论。

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Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory

A standard monomial theory for Schubert varieties is constructed exploiting (1) the geometry of the Seshadri stratifications of Schubert varieties by their Schubert subvarieties and (2) the combinatorial LS‑path character formula for Demazure modules. The general theory of Seshadri stratifications is improved by using arbitrary linearization of the partial order and by weakening the definition of balanced stratification.

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