Symplectic conditions on Grassmannian, flag, and Schubert varieties

DOI10.4208/cmr.2023-0034MaRDI QIDQ6661201

Guanglian Zhang, Jiajun Xu

Publication date: 13 January 2025

Published in: Communications in Mathematical Research (Search for Journal in Brave)

zbMATH Keywords

Schubert varietycomplete intersectionPlücker embeddingGrassmannian varietygeneralized flag variety

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15)

Cites Work

• Unnamed Item
• Introduction to the theory of standard monomials
• Type \(A\) quiver loci and Schubert varieties
• On Lagrangian-Grassmannian codes
• Multiplicities of points on a Schubert variety in a minuscule G/P
• Symplectic standard tableaux
• A criterion for smoothness of Schubert varieties in \(Sp(2n)/B\)
• Singular loci of Schubert varieties
• Type \(D\) quiver representation varieties, double Grassmannians, and symmetric varieties
• Multiplicities of Schubert varieties in the symplectic flag variety
• Standard monomial theory. Invariant theoretic approach
• CLASSIFICATION OF SMOOTH SCHUBERT VARIETIES IN THE SYMPLECTIC GRASSMANNIANS
• Hilbert functions of points on Schubert varieties in the symplectic Grassmannian
• Singular loci of Schubert varieties for classical groups
• Schubert varieties and representations of Dynkin quivers
• Linear algebraic groups.
• Flag varieties. An interplay of geometry, combinatorics, and representation theory

This page was built for publication: Symplectic conditions on Grassmannian, flag, and Schubert varieties