On the Northcott Property and Local Degrees
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
We construct infinite Galois extensions L of Q that satisfy the Northcott property on elements of small height, and where this property can be deduced solely from the local behavior of L at the different prime numbers. We also give examples of Galois extensions of Q which have finite local degree at all prime numbers and do not satisfy the Northcott property.
Details
Originalsprache | Englisch |
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Seiten (von - bis) | 2403-2414 |
Seitenumfang | 12 |
Fachzeitschrift | Proceedings of the American Mathematical Society |
Jahrgang | 149 |
Ausgabenummer | 6 |
Publikationsstatus | Veröffentlicht - Juni 2021 |
Peer-Review-Status | Ja |
Externe IDs
Scopus | 85101491564 |
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Schlagworte
Schlagwörter
- Small height, Extensions, Fields, Definability, Integers