{"title":"Failures of weak approximation in families","intvolume":"       152","extern":1,"author":[{"full_name":"Bright, Maritn J","last_name":"Bright","first_name":"Maritn"},{"last_name":"Browning","orcid":"0000-0002-8314-0177","full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D"},{"first_name":"Daniel","last_name":"Loughran","full_name":"Loughran, Daniel"}],"month":"07","doi":"10.1112/S0010437X16007405","publist_id":"7638","date_created":"2018-12-11T11:45:30Z","citation":{"ama":"Bright M, Browning TD, Loughran D. Failures of weak approximation in families. <i>Compositio Mathematica</i>. 2016;152(7):1435-1475. doi:<a href=\"https://doi.org/10.1112/S0010437X16007405\">10.1112/S0010437X16007405</a>","apa":"Bright, M., Browning, T. D., &#38; Loughran, D. (2016). Failures of weak approximation in families. <i>Compositio Mathematica</i>. Cambridge University Press. <a href=\"https://doi.org/10.1112/S0010437X16007405\">https://doi.org/10.1112/S0010437X16007405</a>","ieee":"M. Bright, T. D. Browning, and D. Loughran, “Failures of weak approximation in families,” <i>Compositio Mathematica</i>, vol. 152, no. 7. Cambridge University Press, pp. 1435–1475, 2016.","ista":"Bright M, Browning TD, Loughran D. 2016. Failures of weak approximation in families. Compositio Mathematica. 152(7), 1435–1475.","chicago":"Bright, Maritn, Timothy D Browning, and Daniel Loughran. “Failures of Weak Approximation in Families.” <i>Compositio Mathematica</i>. Cambridge University Press, 2016. <a href=\"https://doi.org/10.1112/S0010437X16007405\">https://doi.org/10.1112/S0010437X16007405</a>.","mla":"Bright, Maritn, et al. “Failures of Weak Approximation in Families.” <i>Compositio Mathematica</i>, vol. 152, no. 7, Cambridge University Press, 2016, pp. 1435–75, doi:<a href=\"https://doi.org/10.1112/S0010437X16007405\">10.1112/S0010437X16007405</a>.","short":"M. Bright, T.D. Browning, D. Loughran, Compositio Mathematica 152 (2016) 1435–1475."},"date_published":"2016-07-01T00:00:00Z","abstract":[{"text":"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.","lang":"eng"}],"volume":152,"acknowledgement":"While working on this paper the second author was supported by ERC grant 306457.","_id":"264","status":"public","publisher":"Cambridge University Press","publication":"Compositio Mathematica","quality_controlled":0,"date_updated":"2021-01-12T06:58:45Z","day":"01","publication_status":"published","type":"journal_article","year":"2016","issue":"7","main_file_link":[{"url":"https://arxiv.org/abs/1506.01817","open_access":"1"}],"page":"1435 - 1475","oa":1}