Rational curves on Fano threefolds with Gorenstein terminal singularities
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915296783106048 |
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| author | Okamura, Fumiya |
| author_facet | Okamura, Fumiya |
| contents | We study the spaces of rational curves on Fano threefolds with Gorenstein terminal singularities. We generalize the results regarding Geometric Manin's Conjecture for smooth Fano threefolds, including the classification of subvarieties with higher a-invariants and Movable Bend-and-Break lemma. We also show Geometric Manin's Conjecture for some singular del Pezzo threefolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15633 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rational curves on Fano threefolds with Gorenstein terminal singularities Okamura, Fumiya Algebraic Geometry 14H10 (Primary) 14J45 (Secondary) We study the spaces of rational curves on Fano threefolds with Gorenstein terminal singularities. We generalize the results regarding Geometric Manin's Conjecture for smooth Fano threefolds, including the classification of subvarieties with higher a-invariants and Movable Bend-and-Break lemma. We also show Geometric Manin's Conjecture for some singular del Pezzo threefolds. |
| title | Rational curves on Fano threefolds with Gorenstein terminal singularities |
| topic | Algebraic Geometry 14H10 (Primary) 14J45 (Secondary) |
| url | https://arxiv.org/abs/2401.15633 |