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arXiv · 2101.04312

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

Nobuki Shimizu·Sho Tanimoto
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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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Nobuki Shimizu, Sho Tanimoto. 2021-01-12. The spaces of rational curves on del Pezzo threefolds of degree one. https://arxiv.org/abs/2101.04312

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