A standard monomial theory for Schubert varieties is constructed exploiting (1) the geometry of the Seshadri stratifi-cations 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 weak-ening the definition of balanced stratification.
Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory
Chirivi' R.
;
2024-01-01
Abstract
A standard monomial theory for Schubert varieties is constructed exploiting (1) the geometry of the Seshadri stratifi-cations 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 weak-ening the definition of balanced stratification.File in questo prodotto:
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