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math.NT2007
PAC Fields over Finitely Generated Fields
Lior Bary-Soroker, Moshe Jarden
We prove the following theorem for a finitely generated field : Let be a Galois extension of which is not separably closed. Then is not PAC over .
math.NT2007★ 2 cited
On PAC Extensions and Scaled Trace Forms
Lior Bary-Soroker, Dubi Kelmer
Any non-degenerate quadratic form over a Hilbertian field (e.g., a number field) is isomorphic to a scaled trace form. In this work we extend this result to more general fields. In…