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arXiv · 2210.08924

The irreducibility of the spaces of rational curves on del Pezzo manifolds

Fumiya Okamura
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Abstract

We prove the irreducibility of the spaces of rational curves on del Pezzo manifolds of Picard rank 1 and dimension at least 4 by analyzing the fibers of evaluation maps. As a corollary, we prove Geometric Manin's Conjecture in these cases.

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Fumiya Okamura. 2022-10-17. The irreducibility of the spaces of rational curves on del Pezzo manifolds. https://arxiv.org/abs/2210.08924

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