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…
Classifying toric surface codes of dimension
Emily Cairncross, Stephanie Ford, Eli Garcia +1
Toric surface codes are a class of error-correcting codes coming from a lattice polytope defining a two-dimensional toric variety. Previous authors have mostly completed classifica…
The minimal model program for b-log canonical divisors and applications
Daniel Chan, Kenneth Chan, Louis de Thanhoffer de Völcsey +8
We discuss the minimal model program for b-log varieties, which is a pair of a variety and a b-divisor, as a natural generalization of the minimal model program for ordinary log va…
A note on higher order Gauss maps
Sandra Di Rocco, Kelly Jabbusch, Anders Lundman
We study Gauss maps of order , associated to a projective variety embedded in projective space via a line bundle We show that if is a smooth, complete complex varie…
Toric vector bundles and parliaments of polytopes
Sandra Di Rocco, Kelly Jabbusch, Gregory G. Smith
We introduce a collection of convex polytopes associated to a torus-equivariant vector bundle on a smooth complete toric variety. We show that the lattice points in these polytopes…
Recent developments and open problems in linear series
Thomas Bauer, Cristiano Bocci, Susan Cooper +11
In the week 3--9, October 2010, the Mathematisches Forschungsinstitut at Oberwolfach hosted a mini workshop Linear Series on Algebraic Varieties. These notes contain a variety of i…
Families over special base manifolds and a conjecture of Campana
Kelly Jabbusch, Stefan Kebekus
Consider a smooth, projective family of canonically polarized varieties over a smooth, quasi-projective base manifold Y, all defined over the complex numbers. It has been conjectur…
Positive sheaves of differentials coming from coarse moduli spaces
Kelly Jabbusch, Stefan Kebekus
Consider a smooth projective family of canonically polarized complex manifolds over a smooth quasi-projective complex base U, and suppose the family is non-isotrivial. If Y is a sm…
Positivity of cotangent bundles
Kelly Jabbusch
In this paper we prove a generalization of a theorem of Schneider, which gives a criterion for a projective surface over the complex numbers to have an ample cotangent bundle. Afte…