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Moduli spaces of rational curves on Artin-Mumford double solids

Published 16 Jan 2025 in math.AG | (2501.09269v1)

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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