The irreducibility of the spaces of rational curves on del Pezzo manifolds

Published 17 Oct 2022 in math.AG | (2210.08924v2)

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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Fumiya Okamura

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