### Uniform first order definitions in finitely generated fields

Poonen, B *(Berkeley)*

Thursday 16 June 2005, 10:30-12:00

Seminar Room 2, Newton Institute Gatehouse

#### Abstract

We construct a first order sentence that is true for all finitely generated fields of characteristic 0 and false for all finitely generated fields of positive characteristic. Also, for each n we construct a first order formula with n free variables that for any