Uniform Bogomolov Conjecture for Tori
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866908448367575040 |
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| author | Di, Ruida |
| author_facet | Di, Ruida |
| contents | In this paper, we present a novel proof of the uniform Bogomolov conjecture for algebraic tori. To do this, we introduce a definition of non-degenerate subvarieties applicable to a family of algebraic tori and establish an equidistribution theorem in this setting. Our method stems from recent advancements in the uniform Mordell-Lang conjecture, particularly the breakthrough results by Dimitrov, Gao, and Habegger, as well as independent work by Kühne and the collaborative effort of Gao, Ge, and Kühne. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15763 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Uniform Bogomolov Conjecture for Tori Di, Ruida Number Theory Algebraic Geometry In this paper, we present a novel proof of the uniform Bogomolov conjecture for algebraic tori. To do this, we introduce a definition of non-degenerate subvarieties applicable to a family of algebraic tori and establish an equidistribution theorem in this setting. Our method stems from recent advancements in the uniform Mordell-Lang conjecture, particularly the breakthrough results by Dimitrov, Gao, and Habegger, as well as independent work by Kühne and the collaborative effort of Gao, Ge, and Kühne. |
| title | Uniform Bogomolov Conjecture for Tori |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2311.15763 |