Standard monomial theory and toric degenerations of Schubert varieties from matching field tableaux

DOI10.1016/J.JSC.2020.09.006zbMath1467.14116arXiv2009.03215OpenAlexW3089086760MaRDI QIDQ2229741

Oliver Clarke, Fatemeh Mohammadi

Publication date: 18 February 2021

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.03215

zbMATH Keywords

Schubert varietiesflag varietiestoric degenerationssemi-standard tableaux

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Combinatorial aspects of algebraic geometry (05E14)

Related Items (6)

Standard monomial theory and toric degenerations of Richardson varieties in the Grassmannian ⋮ Combinatorial mutations and block diagonal polytopes ⋮ Toric degenerations of partial flag varieties and combinatorial mutations of matching field polytopes ⋮ Combinatorial mutations of Gelfand-Tsetlin polytopes, Feigin-Fourier-Littelmann-Vinberg polytopes, and block diagonal matching field polytopes ⋮ Quadratic Gröbner bases of block diagonal matching field ideals and toric degenerations of Grassmannians ⋮ Standard monomial theory and toric degenerations of Richardson varieties in flag varieties

Uses Software

• Macaulay2

Cites Work

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