Following Schubert varieties under Feigin's degeneration of the flag variety

DOI10.1007/S10801-024-01320-3zbMATH Open1542.14056MaRDI QIDQ6570597

Lara Bossinger, Martina Lanini

Publication date: 10 July 2024

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

zbMATH Keywords

Schubert varietiesFeigin's degenerationGroebner degenerations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Determinantal varieties (14M12) Grassmannians, Schubert varieties, flag manifolds (14M15)

Cites Work

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• Quiver Grassmannians and degenerate flag varieties
• \({\mathbb{G}_a^M}\) degeneration of flag varieties
• PBW-degenerated Demazure modules and Schubert varieties for triangular elements
• Toric degenerations of Schubert varieties
• Multi-cones over Schubert varieties
• Degenerate Schubert varieties in type A
• Toric degenerations of Grassmannians and Schubert varieties from matching field tableaux
• Cohomology of the flag variety under PBW degenerations
• Degenerate flag varieties and the median Genocchi numbers
• Linear degenerations of flag varieties
• Combinatorics of Coxeter Groups
• Degenerate Flag Varieties of Type A and C are Schubert Varieties
• Monomial Ideals
• Homogeneous bases for Demazure modules

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