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

IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly Pub Date : 2024-03-26 DOI:10.4310/pamq.2024.v20.n1.a5

Rocco Chirivì, Xin Fang, Peter Littelmann

引用次数: 0

Abstract

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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塞沙德里分层与舒伯特变体：标准单项式理论的几何构造

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.