We give a complete answer to the local-global divisibility problem for algebraic tori. In particular, we prove that given an odd prime p, if T is an algebraic torus of dimension r p-1. Finally, we prove that under certain hypotheses on the number field generated by the coordinates of the p^n-torsion points of T, the local-global divisibility still holds for tori of dimension less than 3(p-1).
Local–global divisibility on algebraic tori
Alessandri Jessica
Writing – Original Draft Preparation
;
2024-01-01
Abstract
We give a complete answer to the local-global divisibility problem for algebraic tori. In particular, we prove that given an odd prime p, if T is an algebraic torus of dimension r p-1. Finally, we prove that under certain hypotheses on the number field generated by the coordinates of the p^n-torsion points of T, the local-global divisibility still holds for tori of dimension less than 3(p-1).File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Local global divisibility on algebraic tori - BLMS.pdf
accesso aperto
Tipologia:
Documento in Versione Editoriale
Licenza:
Creative commons
Dimensione
196.07 kB
Formato
Adobe PDF
|
196.07 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
