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arXiv · 2501.09269

Moduli spaces of rational curves on Artin-Mumford double solids

Fumiya Okamura
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Abstract

We describe the irreducible components of the moduli spaces of rational curves on Artin-Mumford double solids. This provides the first example of Fano varieties that satisfy Geometric Manin's Conjecture with multiple Manin components in moduli space of rational curves for each degree.

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Fumiya Okamura. 2026-07-18. Moduli spaces of rational curves on Artin-Mumford double solids. https://doi.org/10.1007/s00209-026-04082-9

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