On \(T\)-invariant subvarieties of symplectic Grassmannians and representability of rank 2 symplectic matroids over \(\mathbb{C}\)

DOI10.1016/j.jalgebra.2023.10.031arXiv2307.00203MaRDI QIDQ6142852

Pedro Luis Del Angel, Cristhian Garay, E. Javier Elizondo, Felipe Zaldivar

Publication date: 4 January 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.00203

zbMATH Keywords

matroidsGrassmanniansymplectic matroidssymplectic Grassmannian

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of matroids and geometric lattices (05B35) Classical problems, Schubert calculus (14N15) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

• On Lagrangian-Grassmannian codes
• Combinatorial geometries, convex polyhedra, and Schubert cells
• Coxeter matroids. With illustrations by Anna Borovik
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