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.
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| Veröffentlicht in: | Compositio mathematica 2016-07, Vol.152 (7), p.1435-1475 |
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| container_end_page | 1475 |
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| container_issue | 7 |
| container_start_page | 1435 |
| container_title | Compositio mathematica |
| container_volume | 152 |
| creator | Bright, M. J. Browning, T. D. Loughran, D. |
| description | 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. |
| doi_str_mv | 10.1112/S0010437X16007405 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0010-437X |
| ispartof | Compositio mathematica, 2016-07, Vol.152 (7), p.1435-1475 |
| issn | 0010-437X 1570-5846 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1835639742 |
| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Cambridge University Press Journals Complete |
| subjects | Approximation Failure Fibers Fibres Mathematical analysis Mathematics Obstructions |
| title | Failures of weak approximation in families |
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