Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1435-1475 |
| Seitenumfang | 41 |
| Fachzeitschrift | Compositio mathematica |
| Jahrgang | 152 |
| Ausgabenummer | 7 |
| Frühes Online-Datum | 26 Apr. 2016 |
| Publikationsstatus | Veröffentlicht - 1 Juli 2016 |
Abstract
Given a family of varieties 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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
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in: Compositio mathematica, Jahrgang 152, Nr. 7, 01.07.2016, S. 1435-1475.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Failures of weak approximation in families
AU - Bright, M. J.
AU - Browning, T. D.
AU - Loughran, D.
PY - 2016/7/1
Y1 - 2016/7/1
N2 - Given a family of varieties 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.
AB - Given a family of varieties 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.
KW - Brauer-Manin obstruction
KW - fibrations
KW - rational points
KW - sieves
KW - weak approximation
UR - http://www.scopus.com/inward/record.url?scp=84966534375&partnerID=8YFLogxK
U2 - 10.1112/S0010437X16007405
DO - 10.1112/S0010437X16007405
M3 - Article
AN - SCOPUS:84966534375
VL - 152
SP - 1435
EP - 1475
JO - Compositio mathematica
JF - Compositio mathematica
SN - 0010-437X
IS - 7
ER -