18 citations · 47 across the 14 of their papers we have counts for
16 papers · 1 filter
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…
Separable rational connectedness and -plane sections of hypersurfaces
Roya Beheshti, Shibashis Mukhopadhyay, Eric Riedl
Let X be a smooth hypersurface of degree d in P^n over an algebraically closed field of characteristic p. We show that X must be separably rationally connected and must contain a f…
On the asymptotic enumerativity property for Fano manifolds
Roya Beheshti, Brian Lehmann, Carl Lian +3
We study the enumerativity of Gromov-Witten invariants where the domain curve is fixed in moduli and required to pass through the maximum possible number of points. We say a Fano m…
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…
Bounds on the Picard rank of toric Fano varieties with minimal curve constraints
Roya Beheshti, Ben Wormleighton
We study the Picard rank of smooth toric Fano varieties possessing families of minimal rational curves of given degree. We discuss variants of a conjecture of Chen-Fu-Hwang and pro…
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…