Seshadri stratification for Schubert varieties and Standard Monomial Theory
Algebraic Geometry
2022-08-12 v2 Combinatorics
Quantum Algebra
Representation Theory
Abstract
The theory of Seshadri stratifications has been developed by the authors with the intention to build up a new geometric approach towards a standard monomial theory for embedded projective varieties with certain nice properties. In this article, we investigate the Seshadri stratification on a Schubert variety arising from its Schubert subvarieties. We show that the standard monomial theory developed in [32] is compatible with this new strategy.
Cite
@article{arxiv.2203.13569,
title = {Seshadri stratification for Schubert varieties and Standard Monomial Theory},
author = {Rocco Chirivì and Xin Fang and Peter Littelmann},
journal= {arXiv preprint arXiv:2203.13569},
year = {2022}
}
Comments
55 pages, to appear in Proceedings - Mathematical Sciences, Special Issue in Memory of Professor C S Seshadri