Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory
Algebraic Geometry
2024-04-10 v1 Combinatorics
Representation Theory
Abstract
A standard monomial theory for Schubert varieties is constructed exploiting (1) the geometry of the Seshadri stratifications of Schubert varieties by their Schubert subvarieties and (2) the combinatorial LS-path character formula for Demazure modules. The general theory of Seshadri stratifications is improved by using arbitrary linearization of the partial order and by weakening the definition of balanced stratification.
Keywords
Cite
@article{arxiv.2207.08904,
title = {Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory},
author = {Rocco Chirivì and Xin Fang and Peter Littelmann},
journal= {arXiv preprint arXiv:2207.08904},
year = {2024}
}