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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/519567
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