8 citations · 10 across the 5 of their papers we have counts for
5 papers
Asymptotic properties of random monomial ideals
Fatemeh Mohammadi, Sonja Petrović, Eduardo Sáenz-de-Cabezón
This paper focuses on asymptotic properties of random monomial ideals through a statistical viewpoint. It extends the study of redundancy in monomial ideals by analyzing the poset…
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…
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…
Liftable Point-Line Configurations: Defining Equations and Irreducibility of Associated Matroid and Circuit Varieties
Oliver Clarke, Giacomo Masiero, Fatemeh Mohammadi
We study point-line configurations through the lens of projective geometry and matroid theory. Our focus is on their realisation spaces, where we introduce the concepts of liftable…
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…