Toric degenerations of flag varieties from matching field tableaux

被引：4
|
作者：
Clarke, Oliver [1 ]
Mohammadi, Fatemeh [2 ,3 ]
机构：
[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
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2021年 / 225卷 / 08期
基金：
英国工程与自然科学研究理事会;
关键词：
Toric degenerations; SAGBI bases; Khovanskii bases; Grassmannians; Flag varieties; Semi-standard Young tableaux; SCHUBERT VARIETIES; IDEALS; SYMMETRY;
D O I：
10.1016/j.jpaa.2020.106624
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页数：16
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