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math.AG2021★ 3 cited
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…
math.AG2021★ 5 cited
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…
math.AG2021
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…