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math.AC2026
Geometrically vertex decomposable star configurations
Susan M. Cooper, Emanuela Marangone, Elena Guardo +1
The goal of this paper is to determine how the family of ideals of star configurations intersects with the class of geometrically vertex decomposable ideals. The main result of thi…
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.AC2024
The non-Lefschetz locus of conics
Emanuela Marangone
A graded Artinian algebra has the Weak Lefschetz Property if there exists a linear form such that the multiplication map by has maximum rank in…