Campana conjecture for coverings of toric varieties over function fields
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866912681475178496 |
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| author | Gasbarri, Carlo Guo, Ji Wang, Julie Tzu-Yueh |
| author_facet | Gasbarri, Carlo Guo, Ji Wang, Julie Tzu-Yueh |
| contents | We first prove Vojta's abc conjecture over function fields for Campana points on projective toric varieties with high multiplicity along the boundary. As a consequence, we obtain a version of Campana's conjecture on finite coverings of projective toric varieties over function fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13186 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Campana conjecture for coverings of toric varieties over function fields Gasbarri, Carlo Guo, Ji Wang, Julie Tzu-Yueh Algebraic Geometry Number Theory 11J97, 14H05 and 11J87 We first prove Vojta's abc conjecture over function fields for Campana points on projective toric varieties with high multiplicity along the boundary. As a consequence, we obtain a version of Campana's conjecture on finite coverings of projective toric varieties over function fields. |
| title | Campana conjecture for coverings of toric varieties over function fields |
| topic | Algebraic Geometry Number Theory 11J97, 14H05 and 11J87 |
| url | https://arxiv.org/abs/2401.13186 |