Standard monomial theory and toric degenerations of Richardson varieties in the Grassmannian

Richardson varieties are obtained as intersections of Schubert and opposite Schubert varieties. We provide a new family of toric degenerations of Richardson varieties inside Grassmannians by studying Gröbner degenerations of their corresponding ideals. These degenerations are parametrised by block d...

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Veröffentlicht in:	Journal of algebraic combinatorics 2021-12, Vol.54 (4), p.1159-1183
Hauptverfasser:	Bonala, Narasimha Chary, Clarke, Oliver, Mohammadi, Fatemeh
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Computer Science Convex and Discrete Geometry Degeneration Group Theory and Generalizations Lattices Matching Mathematics Mathematics and Statistics Order Ordered Algebraic Structures Polynomials Quotients Rings (mathematics)
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