Details
| Original language | English |
|---|---|
| Pages (from-to) | 1435-1475 |
| Number of pages | 41 |
| Journal | Compositio Mathematica |
| Volume | 152 |
| Issue number | 7 |
| Early online date | 26 Apr 2016 |
| Publication status | Published - 1 Jul 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.
Keywords
- Brauer-Manin obstruction, fibrations, rational points, sieves, weak approximation
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Compositio Mathematica, Vol. 152, No. 7, 01.07.2016, p. 1435-1475.
Research output: Contribution to journal › Article › Research › 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 -