{"article_processing_charge":"No","isi":1,"date_updated":"2023-10-17T12:51:10Z","month":"09","title":"Density of rational points on a quadric bundle in ℙ3×ℙ3","citation":{"apa":"Browning, T. D., &#38; Heath Brown, R. (2020). Density of rational points on a quadric bundle in ℙ3×ℙ3. <i>Duke Mathematical Journal</i>. Duke University Press. <a href=\"https://doi.org/10.1215/00127094-2020-0031\">https://doi.org/10.1215/00127094-2020-0031</a>","chicago":"Browning, Timothy D, and Roger Heath Brown. “Density of Rational Points on a Quadric Bundle in ℙ3×ℙ3.” <i>Duke Mathematical Journal</i>. Duke University Press, 2020. <a href=\"https://doi.org/10.1215/00127094-2020-0031\">https://doi.org/10.1215/00127094-2020-0031</a>.","mla":"Browning, Timothy D., and Roger Heath Brown. “Density of Rational Points on a Quadric Bundle in ℙ3×ℙ3.” <i>Duke Mathematical Journal</i>, vol. 169, no. 16, Duke University Press, 2020, pp. 3099–165, doi:<a href=\"https://doi.org/10.1215/00127094-2020-0031\">10.1215/00127094-2020-0031</a>.","short":"T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165.","ista":"Browning TD, Heath Brown R. 2020. Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. 169(16), 3099–3165.","ieee":"T. D. Browning and R. Heath Brown, “Density of rational points on a quadric bundle in ℙ3×ℙ3,” <i>Duke Mathematical Journal</i>, vol. 169, no. 16. Duke University Press, pp. 3099–3165, 2020.","ama":"Browning TD, Heath Brown R. Density of rational points on a quadric bundle in ℙ3×ℙ3. <i>Duke Mathematical Journal</i>. 2020;169(16):3099-3165. doi:<a href=\"https://doi.org/10.1215/00127094-2020-0031\">10.1215/00127094-2020-0031</a>"},"type":"journal_article","date_created":"2018-12-11T11:45:02Z","article_type":"original","status":"public","oa_version":"Preprint","department":[{"_id":"TiBr"}],"abstract":[{"lang":"eng","text":"An asymptotic formula is established for the number of rational points of bounded anticanonical height which lie on a certain Zariski dense subset of the biprojective hypersurface x1y21+⋯+x4y24=0 in ℙ3×ℙ3. This confirms the modified Manin conjecture for this variety, in which the removal of a thin set of rational points is allowed."}],"year":"2020","publication_identifier":{"issn":["0012-7094"]},"issue":"16","publisher":"Duke University Press","external_id":{"isi":["000582676300002"],"arxiv":["1805.10715"]},"author":[{"last_name":"Browning","full_name":"Browning, Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D"},{"first_name":"Roger","last_name":"Heath Brown","full_name":"Heath Brown, Roger"}],"doi":"10.1215/00127094-2020-0031","_id":"179","volume":169,"date_published":"2020-09-10T00:00:00Z","publication_status":"published","day":"10","publication":"Duke Mathematical Journal","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"3099-3165","oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1805.10715"}],"intvolume":"       169","language":[{"iso":"eng"}],"quality_controlled":"1"}