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Moduli spaces of rational curves on Artin-Mumford double solids

Algebraic Geometry 2025-01-17 v1

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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Cite

@article{arxiv.2501.09269,
  title  = {Moduli spaces of rational curves on Artin-Mumford double solids},
  author = {Fumiya Okamura},
  journal= {arXiv preprint arXiv:2501.09269},
  year   = {2025}
}

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20 pages