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The spaces of rational curves on del Pezzo threefolds of degree one

Published 12 Jan 2021 in math.AG | (2101.04312v2)

Abstract: We prove the irreducibility of moduli spaces of rational curves on a general del Pezzo threefold of Picard rank $1$ and degree $1$. As corollaries, we confirm Geometric Manin's conjecture and enumerativity of certain Gromov-Witten invariants for these threefolds.

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