Rocco Chirivì, Xin Fang, Peter Littelmann
Published 2022-03-24Version 1
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.
On multiplicities of points on Schubert varieties in Grassmannians
On multiplicities of points on Schubert varieties in Graszmannians II
On torus quotients of Schubert varieties in orthogonal Grassmannian-II
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