Characterizing finitely generated fields by a single field axiom
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
We resolve the strong Elementary Equivalence versus Isomorphism Problem for finitely generated fields. That is, we show that for every field in this class there is a 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.
Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 1203-1227 |
Seitenumfang | 25 |
Fachzeitschrift | Annals of Mathematics |
Jahrgang | 198 |
Ausgabenummer | 3 |
Publikationsstatus | Veröffentlicht - 1 Nov. 2023 |
Peer-Review-Status | Ja |
Externe IDs
Mendeley | d8c7187b-b4b2-3983-999f-e30618c9f0e0 |
---|---|
Scopus | 85177841388 |
Schlagworte
ASJC Scopus Sachgebiete
Schlagwörter
- Pfister forms, elementary equivalence versus isomorphism, finitely generated fields, firstorder definability of valuations, higher-dimensional cohomological local-global principles