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arXiv · 1904.07832

Toric degenerations of flag varieties from matching field tableaux

Oliver Clarke·Fatemeh Mohammadi
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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.

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Oliver Clarke, Fatemeh Mohammadi. 2019-04-16. Toric degenerations of flag varieties from matching field tableaux. https://arxiv.org/abs/1904.07832

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