English

PAC Fields over Finitely Generated Fields

Number Theory 2009-07-16 v1

Abstract

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

Keywords

Cite

@article{arxiv.0708.3966,
  title  = {PAC Fields over Finitely Generated Fields},
  author = {Lior Bary-Soroker and Moshe Jarden},
  journal= {arXiv preprint arXiv:0708.3966},
  year   = {2009}
}

Comments

7 pages, Math. Z

R2 v1 2026-06-21T09:11:54.224Z