K. Jabbusch

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20242026

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math.AG2026

On the classification of toric $2$ -Fano manifolds: generic $P^{2}$ -bundles

Carolina Araujo, Roya Beheshti, Ana-Maria Castravet +4

In this paper, we advance the classification of toric 2-Fano manifolds by continuing the investigation of the minimal projective bundle dimension $m (X) \in {1, \dots, dim (X)}$ int…

math.AG2025

Toric surface codes and the periodicity of polytopes

Amelia Gibbs, Eliza Hogan, Kelly Jabbusch +2

Toric codes are error-correcting codes that are derived from toric varieties, which hold a unique correspondence to integral convex polytopes. In this paper, we focus on integral c…

math.AG2024

On Good Infinite Families of Toric Codes or the Lack Thereof

Mallory Dolorfino, Cordelia Horch, Kelly Jabbusch +1

A toric code, introduced by Hansen to extend the Reed-Solomon code as a $k$ -dimensional subspace of $F_{q}^{n}$ , is determined by a toric variety or its associated integral co…

On the classification of toric 2-Fano manifolds: generic P2-bundles

Toric surface codes and the periodicity of polytopes

On Good Infinite Families of Toric Codes or the Lack Thereof

On the classification of toric $2$ -Fano manifolds: generic $P^{2}$ -bundles