Failures of weak approximation in families

Failures of weak approximation in families

Given a family of varieties $X\rightarrow \mathbb{P}^{n}$ over a number field, we determine conditions under which there is a Brauer–Manin obstruction to weak approximation for 100% of the fibres which are everywhere locally soluble.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Compositio mathematica 2016-07, Vol.152 (7), p.1435-1475
Hauptverfasser: Bright, M. J., Browning, T. D., Loughran, D.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Failure
Fibers
Fibres
Mathematical analysis
Mathematics
Obstructions
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Given a family of varieties $X\rightarrow \mathbb{P}^{n}$ over a number field, we determine conditions under which there is a Brauer–Manin obstruction to weak approximation for 100% of the fibres which are everywhere locally soluble.
ISSN:0010-437X
1570-5846
DOI:10.1112/S0010437X16007405