English

One dimensional commutative groups definable in algebraically closed valued fields and in the pseudo-local fields

Logic 2025-03-04 v2

Abstract

We give a complete list of the one-dimensional groups definable in algebraically closed valued fields and i the pseudo-local fields, up to a finite index subgroup and a quotient by a finite subgroup.

Keywords

Cite

@article{arxiv.2112.00430,
  title  = {One dimensional commutative groups definable in algebraically closed valued fields and in the pseudo-local fields},
  author = {Juan Pablo Acosta and Martin Hils},
  journal= {arXiv preprint arXiv:2112.00430},
  year   = {2025}
}
R2 v1 2026-06-24T07:59:28.771Z