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<p>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.</p>

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Moduli spaces of rational curves on Artin–Mumford double solids

  • 期刊论文

  • 发表日期：

    2026年7月15日

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  • Fumiya Okamura

摘要

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.