Toric degenerations of flag varieties from matching field tableaux

@article{Clarke2019ToricDO,
  title={Toric degenerations of flag varieties from matching field tableaux},
  author={Oliver Clarke and Fatemeh Mohammadi},
  journal={arXiv: Commutative Algebra},
  year={2019}
}
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. 
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