Weakly-special threefolds and non-density of rational points
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866915537164959744 |
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| author | Bartsch, Finn Javanpeykar, Ariyan Rousseau, Erwan |
| author_facet | Bartsch, Finn Javanpeykar, Ariyan Rousseau, Erwan |
| contents | We verify part of a conjecture of Campana predicting that rational points on the weakly-special non-special simply-connected smooth projective threefolds constructed by Bogomolov-Tschinkel are not dense. To prove our result, we establish fundamental properties of moduli spaces of orbifold maps, and prove a dimension bound for such moduli spaces by using the recent extension of Kobayashi-Ochiai's finiteness theorem for Campana's orbifold pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09065 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Weakly-special threefolds and non-density of rational points Bartsch, Finn Javanpeykar, Ariyan Rousseau, Erwan Algebraic Geometry Number Theory We verify part of a conjecture of Campana predicting that rational points on the weakly-special non-special simply-connected smooth projective threefolds constructed by Bogomolov-Tschinkel are not dense. To prove our result, we establish fundamental properties of moduli spaces of orbifold maps, and prove a dimension bound for such moduli spaces by using the recent extension of Kobayashi-Ochiai's finiteness theorem for Campana's orbifold pairs. |
| title | Weakly-special threefolds and non-density of rational points |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2310.09065 |