Multiprojective Seshadri stratifications and Young-tableaux

2024/08/29 by Henrik Müller, Müller, Henrik
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2408.16630

openalex publication_date 2024/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide an algebraic-geometrical interpretation of the classical semistandard Young-tableaux via the notion of Seshadri stratifications. The columns appearing in such a tableau correspond to vanishing multiplicities of certain rational functions on Schubert varieties. To build a framework for this correspondence we generalize Seshadri stratifications to multiprojective varieties, which forms the largest part of this article.

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