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arXiv · 1808.05590

Rational curves on prime Fano threefolds of index 1

Brian Lehmann·Sho Tanimoto
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Abstract

We study the moduli spaces of rational curves on prime Fano threefolds of index 1. For general threefolds of most genera we compute the dimension and the number of irreducible components of these moduli spaces. Our results confirm Geometric Manin's Conjecture in these examples and show the enumerativity of certain Gromov-Witten invariants.

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Brian Lehmann, Sho Tanimoto. 2018-08-16. Rational curves on prime Fano threefolds of index 1. https://arxiv.org/abs/1808.05590

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