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arXiv · 0708.3966

PAC Fields over Finitely Generated Fields

Lior Bary-Soroker·Moshe Jarden
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Abstract

We prove the following theorem for a finitely generated field $K$: Let $M$ be a Galois extension of $K$ which is not separably closed. Then $M$ is not PAC over $K$.

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Lior Bary-Soroker, Moshe Jarden. 2007-08-29. PAC Fields over Finitely Generated Fields. https://arxiv.org/abs/0708.3966

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