48 citations · 157 across the 21 of their papers we have counts for
32 papers
Non-free curves on Fano varieties
Brian Lehmann, Eric Riedl, Sho Tanimoto
Let be a smooth Fano variety over and let be a smooth projective curve over . Geometric Manin's Conjecture predicts the structure of the irreducibl…
Non-free sections of Fano fibrations
Brian Lehmann, Eric Riedl, Sho Tanimoto
Let be a smooth projective curve and let be a smooth integral model of a geometrically integral Fano variety over . Geometric Manin's Conjecture pr…
Rational curves on del Pezzo surfaces in positive characteristic
Roya Beheshti, Brian Lehmann, Eric Riedl +1
We study the space of rational curves on del Pezzo surfaces in positive characteristic. For most primes p we prove the irreducibility of the moduli space of rational curves of a gi…
Classifying sections of del Pezzo fibrations, II
Brian Lehmann, Sho Tanimoto
Let be a del Pezzo surface over the function field of a complex curve. We study the behavior of rational points on leading to bounds on the counting function in Geometric M…
Restricted tangent bundles for general free rational curves
Brian Lehmann, Eric Riedl
Suppose that is a smooth projective variety and that is a general member of a family of free rational curves on . We prove several statements showing that the Harder-Nar…
Moduli spaces of rational curves on Fano threefolds
Roya Beheshti, Brian Lehmann, Eric Riedl +1
We prove several classification results for the components of the moduli space of rational curves on a smooth Fano threefold. In particular, we prove a conjecture of Batyrev on the…