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math.AC2026
Combinatorial bounds for the v-number of binomial edge ideals
Emiliano Liwski
We study the local -numbers of binomial edge ideals from a combinatorial perspective. For each minimal prime of , indexed by a cutset …
math.AC2026
-number of Lovász-Saks-Schrijver Ideals and (parity) binomial edge ideals of graphs
Manohar Kumar, Emiliano Liwski
In this paper, we introduce a new framework for computing certain localized -numbers of a class of ideals called coordinate-saturated ideals, which includes certain cla…
math.CO2026
Decomposing Determinantal Varieties from Statistics via Matroid Theory
Per Alexandersson, Yulia Alexandr, Emiliano Liwski +2
We study determinantal varieties from conditional independence models with hidden variables, focusing on their irreducible decompositions, dimensions, degrees, and Gröbner bases. E…