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The irreducibility of the spaces of rational curves on del Pezzo manifolds (2210.08924v2)
Published 17 Oct 2022 in math.AG
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.
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