PAC Fields over Finitely Generated Fields

Details PAC Fields over Finitely Generated Fields PAC Fields over Finitely Generated Fields

2007-08-29

arxiv.org/abs/0708.3966v1

Math. Z. 260 (2), 329-334 (2008)

Mathematics

Number Theory

7 pages, Math. Z

Scientific paper

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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