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math.AC2026
The generators of a colon ideal with an application to the weak Lefschetz property for monomial almost complete intersections in three variables
Matthew Davidson Booth, Adela Vraciu
Much progress has been made in classifying when the weak Lefschetz property holds for where and $I=(x^{d_{1}},y^{d_{2}},z^{d_{3}…
math.AC2025
On the weak Lefschetz property for ideals generated by powers of general linear forms
Matthew D. Booth, Pankaj Singh, Adela Vraciu
We provide a description of initial ideals for almost complete intersections generated by powers of general linear forms and prove that WLP in a fixed degree holds when the num…