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arXiv · 2409.11488

Multiprojective Seshadri stratifications for Schubert varieties and standard monomial theory

Henrik Müller
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Abstract

Using the language of Seshadri stratifications we develop a geometrical interpretation of Lakshmibai-Seshadri-tableaux and their associated standard monomial bases. These tableaux are a generalization of Young-tableaux and De-Concini-tableaux to all Dynkin types. More precisely, we construct filtrations of multihomogeneous coordinate rings of Schubert varieties, such that the subquotients are one-dimensional and indexed by standard tableaux.

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Henrik Müller. 2024-09-17. Multiprojective Seshadri stratifications for Schubert varieties and standard monomial theory. https://arxiv.org/abs/2409.11488

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