Toric degenerations of flag varieties from matching field tableaux
Commutative Algebra
2020-09-10 v2 Combinatorics
Abstract
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 Pl\"ucker algebras. We show that each such family of tableaux leads to a toric ideal, that can be realized as initial of the Pl\"ucker ideal, hence a toric degeneration for the flag variety.
Keywords
Cite
@article{arxiv.1904.07832,
title = {Toric degenerations of flag varieties from matching field tableaux},
author = {Oliver Clarke and Fatemeh Mohammadi},
journal= {arXiv preprint arXiv:1904.07832},
year = {2020}
}