The theorem of Maehara-Severi for maps of general type
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911557306286080 |
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| author | Bartsch, Finn Javanpeykar, Ariyan Rousseau, Erwan |
| author_facet | Bartsch, Finn Javanpeykar, Ariyan Rousseau, Erwan |
| contents | We prove a finiteness result for dominant rational maps whose orbifold base is of general type. Our finiteness result generalizes Maehara's theorem that a given variety dominates only finitely many projective varieties of general type up to birational equivalence, and also answers a question of Campana on the finiteness of Bogomolov sheaves. We give several further applications, including finiteness results for maps to curves, abelian varieties, and K3 surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02314 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The theorem of Maehara-Severi for maps of general type Bartsch, Finn Javanpeykar, Ariyan Rousseau, Erwan Algebraic Geometry Complex Variables 14D99 (Primary) 14E22, 14G99, 11G99 (Secondary) We prove a finiteness result for dominant rational maps whose orbifold base is of general type. Our finiteness result generalizes Maehara's theorem that a given variety dominates only finitely many projective varieties of general type up to birational equivalence, and also answers a question of Campana on the finiteness of Bogomolov sheaves. We give several further applications, including finiteness results for maps to curves, abelian varieties, and K3 surfaces. |
| title | The theorem of Maehara-Severi for maps of general type |
| topic | Algebraic Geometry Complex Variables 14D99 (Primary) 14E22, 14G99, 11G99 (Secondary) |
| url | https://arxiv.org/abs/2602.02314 |