Submission date: 26 April 2017

Abstract:

This paper studies unbounded PAC fields and shows an amalgamation result for types over algebraically closed sets. It discusses various applications, for instance that omega-free PAC fields have the property NSOP3. It also contains a description of imaginaries in PAC fields.

Mathematics Subject Classification: 03C45, 03C60

Keywords and phrases: pseudo-algebraically closed fields, imaginaries.

Full text arXiv 1704.08132: pdf, ps.