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arXiv · 2203.12992

LS Algebras, Valuations and Schubert Varieties

Rocco Chirivì·Xin Fang·Peter Littelmann
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Abstract

In this paper, we propose an algebraic approach via Lakshmibai-Seshadri (LS) algebras to establish a link between standard monomial theories, Newton-Okounkov bodies and valuations. This is applied to Schubert varieties, where this approach is compatible with the one using Seshadri stratifications by the same authors (arXiv:2112.03776), showing that LS paths encode vanishing multiplicities with respect to the web of Schubert varieties.

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BibTeXRIS

Rocco Chirivì, Xin Fang, Peter Littelmann. 2022-03-24. LS Algebras, Valuations and Schubert Varieties. https://arxiv.org/abs/2203.12992

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