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math.AC2024★ 2 cited
Minimal cellular resolutions of powers of matching field ideals
Oliver Clarke, Fatemeh Mohammadi
We study a family of monomial ideals, called block diagonal matching field ideals, which arise as monomial Gröbner degenerations of determinantal ideals. Our focus is on the minima…
math.AC2024
A Family of Monomial Gröbner Degenerations of Determinantal Ideals with Minimal Cellular Resolutions
Fatemeh Mohammadi
We explore a family of monomial ideals derived as Gröbner degenerations of determinantal ideals. These ideals, previously examined as block diagonal matching field ideals within th…
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…