Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory

Autor: Chirivì, Rocco, Fang, Xin, Littelmann, Peter
Rok vydání: 2022
Předmět:
Zdroj: Pure and Applied Mathematics Quarterly, Volume 20, Number 1, 139--169, 2024
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv