The irreducibility of the spaces of rational curves on del Pezzo manifolds
arXiv:2210.08924
Abstract
We prove the irreducibility of the spaces of rational curves on del Pezzo manifolds of Picard rank 1 and dimension at least 4 by analyzing the fibers of evaluation maps. As a corollary, we prove Geometric Manin's Conjecture in these cases.
Reorganized Section 3, 21 pages