Toric degenerations of flag varieties from matching field tableaux

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:225

Article

Clarke, Oliver¹  Mohammadi, Fatemeh^2,3 

[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

[2] Univ Ghent, Dept Math Algebra & Geometry, B-9000 Ghent, Belgium

[3] UiT Arctic Univ Norway, Dept Math & Stat, N-9037 Tromso, Norway

关键词: Toric degenerations;    SAGBI bases;    Khovanskii bases;    Grassmannians;    Flag varieties;    Semi-standard Young tableaux;   

DOI  :  10.1016/j.jpaa.2020.106624

来源: Elsevier

【 摘 要 】

We present families of tableaux which interpolate between the classical semi-standard Young tableaux and matching field tableaux. Algebraically, this corresponds to SAGBI bases of Plucker algebras. We show that each such family of tableaux leads to a toric ideal, that can be realized as initial of the Plucker ideal, hence a toric degeneration for the flag variety. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free