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arXiv · 2409.08370

An Algebraic Proof of Hrushovski's Theorem

Thomas Wisson
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Abstract

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.

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Thomas Wisson. 2024-09-12. An Algebraic Proof of Hrushovski's Theorem. https://arxiv.org/abs/2409.08370

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