The spaces of rational curves on del Pezzo threefolds of degree one
arXiv:2101.04312
Abstract
We prove the irreducibility of moduli spaces of rational curves on a general del Pezzo threefold of Picard rank and degree . As corollaries, we confirm Geometric Manin's conjecture and enumerativity of certain Gromov-Witten invariants for these threefolds.
The exposition has been improved. 16 pages, to appear in European Journal of Mathematics