Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1891

Preprint Number 1891

Previous Next Preprint server

1891. Philip Dittmann and Florian Pop
Characterizing finitely generated fields by a single field axiom

Submission date: 2 December 2020


We resolve the Elementary Equivalence versus Isomorphism Problem for finitely generated fields. That is, we show that for every field in this class there is an explicit first-order sentence which characterizes this field within the class up to isomorphism. Our solution is conditional on resolution of singularities in characteristic two and unconditional in all other characteristics.

Mathematics Subject Classification: 12L99, 14G25

Keywords and phrases:

Full text arXiv 2012.01307: pdf, ps.

Last updated: March 23 2021 10:21 Please send your corrections to: