The irreducibility of the spaces of rational curves on del Pezzo manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866911831386226688 |
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| author | Okamura, Fumiya |
| author_facet | Okamura, Fumiya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_08924 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The irreducibility of the spaces of rational curves on del Pezzo manifolds Okamura, Fumiya Algebraic Geometry 14H10 (Primary) 14J45 (Secondary) 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. |
| title | The irreducibility of the spaces of rational curves on del Pezzo manifolds |
| topic | Algebraic Geometry 14H10 (Primary) 14J45 (Secondary) |
| url | https://arxiv.org/abs/2210.08924 |