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 in arXiv:2112.03776, showing that LS paths encode vanishing multiplicities with respect to the web of Schubert varieties.

LS algebras, valuations, and Schubert varieties

Chirivi' R.
;
2022-01-01

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 in arXiv:2112.03776, showing that LS paths encode vanishing multiplicities with respect to the web of Schubert varieties.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/519569
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