LS Algebras, Valuations and Schubert Varieties

Autor: Chirivì, Rocco, Fang, Xin, Littelmann, Peter
Rok vydání: 2022
Předmět:
Zdroj: Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 33 (2022), no. 4, pp. 925--957
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv