PAC fields over finitely generated fields

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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Bibliographic Details
Published in:Mathematische Zeitschrift 2008-10, Vol.260 (2), p.329-334
Main Authors: Bary-Soroker, Lior, Jarden, Moshe
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary: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 .
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-007-0276-3