Moduli spaces of rational curves on Artin-Mumford double solids

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1. Verfasser: Okamura, Fumiya
Format: Preprint
Veröffentlicht: 2025
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_version_ 1866929678121435136
author Okamura, Fumiya
author_facet Okamura, Fumiya
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_09269
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Moduli spaces of rational curves on Artin-Mumford double solids
Okamura, Fumiya
Algebraic Geometry
14H10 (Primary) 14J45, 14M20 (Secondary)
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.
title Moduli spaces of rational curves on Artin-Mumford double solids
topic Algebraic Geometry
14H10 (Primary) 14J45, 14M20 (Secondary)
url https://arxiv.org/abs/2501.09269