Perfectoid fields in the language of rings

Fuente: arXiv
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Hauptverfasser: Jahnke, Franziska, Lavaud, Ferréol
Format: Preprint
Veröffentlicht: 2026
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author Jahnke, Franziska
Lavaud, Ferréol
author_facet Jahnke, Franziska
Lavaud, Ferréol
contents Building on work of the first author and Kartas, we identify the elementary class generated by all perfectoid fields of fixed residue characteristic $p$ in the language of rings.
format Preprint
id arxiv_https___arxiv_org_abs_2602_20847
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Perfectoid fields in the language of rings
Jahnke, Franziska
Lavaud, Ferréol
Logic
12L12 (Primary) 12J20, 03C60, 08C10 (Secondary)
Building on work of the first author and Kartas, we identify the elementary class generated by all perfectoid fields of fixed residue characteristic $p$ in the language of rings.
title Perfectoid fields in the language of rings
topic Logic
12L12 (Primary) 12J20, 03C60, 08C10 (Secondary)
url https://arxiv.org/abs/2602.20847