Amalgamation of types in pseudo-algebraically closed fields and applications

Zoé Chatzidakis (1)

1 DMA - Département de Mathématiques et Applications - ENS Paris

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.

Domaines: Logique [math.LO]

Zoé Chatzidakis. Amalgamation of types in pseudo-algebraically closed fields and applications. Journal of Mathematical Logic, 2019, 19 (02), pp.1950006. ⟨10.1142/S0219061319500065⟩. ⟨hal-02325918⟩