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math.AC2026
Betti numbers of inductively pierced codes
Hugh Geller, Rebecca R. G., Alexandra Seceleanu +1
Neural ideals were introduced by Curto, Itskov, et al as an algebraic tool to study neural codes. In this paper, we use the notion of polarization introduced by Güntürkün, Jeffries…
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.CO2026
Adjoints of Morphisms of Neural Codes
Juliann Geraci, Alexander B. Kunin, Alexandra Seceleanu
A combinatorial code is a collection of subsets of , or equivalently a set of points in . A morphism of codes is a map from one combinatorial code to…