An Algebraic Proof of Hrushovski's Theorem
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916881096507392 |
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| author | Wisson, Thomas |
| author_facet | Wisson, Thomas |
| contents | In his paper on the Mordell-Lang conjecture, Hrushovski employed techniques from model theory to prove the function field version of the conjecture. In doing so he was able to answer a related question of Voloch, which we refer to henceforth as Hrushovski's theorem. In this paper we shall give an alternative proof of said theorem in the characteristic $p$ setting, but using purely algebro-geometric ideas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08370 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Algebraic Proof of Hrushovski's Theorem Wisson, Thomas Algebraic Geometry Number Theory In his paper on the Mordell-Lang conjecture, Hrushovski employed techniques from model theory to prove the function field version of the conjecture. In doing so he was able to answer a related question of Voloch, which we refer to henceforth as Hrushovski's theorem. In this paper we shall give an alternative proof of said theorem in the characteristic $p$ setting, but using purely algebro-geometric ideas. |
| title | An Algebraic Proof of Hrushovski's Theorem |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2409.08370 |