27 citations · 47 across the 11 of their papers we have counts for
14 papers
On the classification of toric -Fano manifolds: generic -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 int…
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 lattice polytopes. In this paper, we focus on lattice polytopes…
The minimal projective bundle dimension and toric -Fano manifolds
Carolina Araujo, Roya Beheshti, Ana-Maria Castravet +5
Motivated by the problem of classifying toric -Fano manifolds, we introduce a new invariant for smooth projective toric varieties, the minimal projective bundle dimension. This…
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 -dimensional subspace of , is determined by a toric variety or its associated integral co…
Higher Fano Manifolds
Carolina Araujo, Roya Beheshti, Ana-Maria Castravet +5
In this paper we address Fano manifolds with positive higher Chern characters. They are expected to enjoy stronger versions of several of the nice properties of Fano manifolds. For…
Classifying toric 3-fold codes of dimensions 4 and 5
Tori Braun, James Carzon, Jenna Gorham +1
A toric code is an error-correcting code determined by a toric variety or its associated integral convex polytope. We investigate - and -dimensional toric -fold codes, whi…