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Seshadri Stratifications and Standard Monomial Theory by Chirivì, Rocco; Fang, Xin; Littelmann, Peter is a scholarly article available to read on EtoBox.

What is Seshadri Stratifications and Standard Monomial Theory about?

We introduce the notion of a Seshadri stratification on an embedded projective variety. Such a structure enables us to construct a Newton-Okounkov simplicial complex and a flat degeneration of the projective variety into a union of toric varieties. We show that the Seshadri stratification provides a geometric setup for a standard monomial theory. In this framework, Lakshmibai-Seshadri paths for Schubert varieties get a geometric interpretation as successive vanishing orders of regular functions.

Author

Chirivì, Rocco; Fang, Xin; Littelmann, Peter

Published

2021

Language

EN