Initial ideals of tangent cones to the Richardson varieties in the orthogonal Grassmannian

DOI10.1155/2013/392437zbMath1273.13053arXiv0909.1424OpenAlexW2016817179WikidataQ58923543 ScholiaQ58923543MaRDI QIDQ1953662

Shyamashree Upadhyay

Publication date: 10 June 2013

Published in: International Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1424

zbMATH Keywords

Richardson varietyRSK-Correspondence

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Computational aspects and applications of commutative rings (13P99) Classical problems, Schubert calculus (14N15)

Related Items

Standard monomial theory for desingularized Richardson varieties in the flag variety \(\mathrm{GL}(n)/B\), Schubert varieties in the Grassmannian and the symplectic Grassmannian via a bounded RSK correspondence, Multiplicity on a Richardson variety in a cominuscule $G/P$

Cites Work

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• Local properties of Richardson varieties in the Grassmannian via a bounded Robinson-Schensted-Knuth correspondence
• Hilbert functions of points on Schubert varieties in orthogonal grassmannians
• Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians
• Gröbner bases and multiplicity of determinantal and Pfaffian ideals
• Hilbert functions of points on Schubert varieties in Grassmannians.
• Gröbner bases and Stanley decompositions of determinantal ideals
• Geometry of G/P-II [The work of De Concini and Procesi and the basic conjectures]