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math.AC2026
Weighted Veronese Rings via Convex Semigroups
Bek Chase, Luca Fiorindo, Thiago Holleben +4
We determine properties of two-dimensional normal affine semigroup rings, and in particular of weighted Veronese rings, including determinantal presentation, Gröbner basis, graded…
math.AC2025
Monomial Almost Complete Intersections and the Strong Lefschetz Property
Bek Chase, Filip Jonsson Kling
Motivated by the foundational result that a monomial complete intersection has the strong Lefschetz property (SLP) in characteristic zero, it is natural to ask when monomial almost…
math.AC2024
The strong Lefschetz property of certain modules over Clements-Lindström rings
Bek Chase
We introduce a method for studying the Lefschetz properties for -modules based on the Lindström-Gessel-Viennot Lemma. In particular, we prove that certain modules over Art…