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Toric degenerations of flag varieties from matching field tableaux (1904.07832v2)
Published 16 Apr 2019 in math.AC and math.CO
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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