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math.AC2019
Toric degenerations of flag varieties from matching field tableaux
Oliver Clarke, Fatemeh Mohammadi
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…
math.AC2019★ 18 cited
Toric degenerations of Grassmannians and Schubert varieties from matching field tableaux
Oliver Clarke, Fatemeh Mohammadi
We study the combinatorics of Gröbner degenerations of Grassmannians and the Schubert varieties inside them. We provide a family of binomial ideals whose combinatorics is governed…
math.AC2019★ 8 cited
Conditional independence ideals with hidden variables
Oliver Clarke, Fatemeh Mohammadi, Johannes Rauh
We study a class of determinantal ideals that are related to conditional independence (CI) statements with hidden variables. Such CI statements correspond to determinantal conditio…