{"date_published":"2009-04-01T00:00:00Z","author":[{"orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","full_name":"Timothy Browning","last_name":"Browning"},{"full_name":"Heath-Brown, Roger","last_name":"Heath Brown","first_name":"Roger"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/math/0701348"}],"status":"public","year":"2009","type":"journal_article","day":"01","date_created":"2018-12-11T11:45:19Z","publication":"Journal fur die Reine und Angewandte Mathematik","date_updated":"2021-01-12T06:56:29Z","page":"37 - 88","month":"04","_id":"228","title":"Rational points on quartic hypersurfaces","quality_controlled":0,"publist_id":"7676","abstract":[{"lang":"eng","text":"Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined over . We show that X() is non-empty provided that X() is non-empty and X has p-adic points for every prime p."}],"publisher":"Walter de Gruyter","issue":"629","extern":1,"oa":1,"publication_status":"published","citation":{"short":"T.D. Browning, R. Heath Brown, Journal Fur Die Reine Und Angewandte Mathematik (2009) 37–88.","apa":"Browning, T. D., &#38; Heath Brown, R. (2009). Rational points on quartic hypersurfaces. <i>Journal Fur Die Reine Und Angewandte Mathematik</i>. Walter de Gruyter. <a href=\"https://doi.org/10.1515/CRELLE.2009.026\">https://doi.org/10.1515/CRELLE.2009.026</a>","ista":"Browning TD, Heath Brown R. 2009. Rational points on quartic hypersurfaces. Journal fur die Reine und Angewandte Mathematik. (629), 37–88.","mla":"Browning, Timothy D., and Roger Heath Brown. “Rational Points on Quartic Hypersurfaces.” <i>Journal Fur Die Reine Und Angewandte Mathematik</i>, no. 629, Walter de Gruyter, 2009, pp. 37–88, doi:<a href=\"https://doi.org/10.1515/CRELLE.2009.026\">10.1515/CRELLE.2009.026</a>.","chicago":"Browning, Timothy D, and Roger Heath Brown. “Rational Points on Quartic Hypersurfaces.” <i>Journal Fur Die Reine Und Angewandte Mathematik</i>. Walter de Gruyter, 2009. <a href=\"https://doi.org/10.1515/CRELLE.2009.026\">https://doi.org/10.1515/CRELLE.2009.026</a>.","ieee":"T. D. Browning and R. Heath Brown, “Rational points on quartic hypersurfaces,” <i>Journal fur die Reine und Angewandte Mathematik</i>, no. 629. Walter de Gruyter, pp. 37–88, 2009.","ama":"Browning TD, Heath Brown R. Rational points on quartic hypersurfaces. <i>Journal fur die Reine und Angewandte Mathematik</i>. 2009;(629):37-88. doi:<a href=\"https://doi.org/10.1515/CRELLE.2009.026\">10.1515/CRELLE.2009.026</a>"},"doi":"10.1515/CRELLE.2009.026","acknowledgement":"EP/F060661/1\tEngineering and Physical Sciences Research Council"}