LS Algebras, Valuations and Schubert Varieties
Algebraic Geometry
2024-04-10 v1 Commutative Algebra
Combinatorics
Representation Theory
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.
Cite
@article{arxiv.2203.12992,
title = {LS Algebras, Valuations and Schubert Varieties},
author = {Rocco Chirivì and Xin Fang and Peter Littelmann},
journal= {arXiv preprint arXiv:2203.12992},
year = {2024}
}