English

Perfectoid fields in the language of rings

Logic 2026-04-15 v2

Abstract

Building on work of the first author and Kartas, we identify the elementary class generated by all perfectoid fields of fixed residue characteristic pp in the language of rings.

Keywords

Cite

@article{arxiv.2602.20847,
  title  = {Perfectoid fields in the language of rings},
  author = {Franziska Jahnke and Ferréol Lavaud},
  journal= {arXiv preprint arXiv:2602.20847},
  year   = {2026}
}

Comments

Revised version

R2 v1 2026-07-01T10:49:49.135Z