Degeneration of Schubert varieties of \(SL_n\slash B\) to toric varieties

DOI10.5802/aif.1864zbMath1017.14019OpenAlexW2324523643MaRDI QIDQ5956578

Raika Dehy, Rupert W. T. Yu

Publication date: 21 February 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2001__51_6_1525_0

zbMATH Keywords

toric varietiesSchubert varietiesdistributive latticestandard monomial basis

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Grassmannians, Schubert varieties, flag manifolds (14M15) Structure and representation theory of distributive lattices (06D05)

Related Items

PBW filtration and monomial bases for Demazure modules in types A and C, PBW-degenerated Demazure modules and Schubert varieties for triangular elements, Chains in the Bruhat order

Cites Work

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• Geometry of G/P. V
• Degenerations of flag and Schubert varieties to toric varieties
• Polytopes associated to Demazure modules of symmetrizable Kac-Moody algebras of rank two
• Lattice polytopes associated to certain Demazure modules of \(sl_{n+1}\)
• Multi-cones over Schubert varieties
• Binomial ideals