PAC Fields over Finitely Generated Fields
classification
🧮 math.NT
keywords
fieldsfinitelygeneratedclosedextensionfieldfollowinggalois
read the original 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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