[{"_id":"179","das_tickbox":"0","oa_version":"Preprint","doi":"10.1215/00127094-2020-0031","date_updated":"2026-08-06T11:22:52Z","external_id":{"arxiv":["1805.10715"],"isi":["000582676300002"]},"supplementarymaterial":"no","department":[{"_id":"TiBr"}],"date_published":"2020-09-10T00:00:00Z","status":"public","researchdata_availability":"no","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_created":"2018-12-11T11:45:02Z","publisher":"Duke University Press","article_type":"original","type":"journal_article","year":"2020","issue":"16","publication_status":"published","title":"Density of rational points on a quadric bundle in ℙ3×ℙ3","intvolume":"       169","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."}],"publication":"Duke Mathematical Journal","quality_controlled":"1","day":"10","main_file_link":[{"url":"https://arxiv.org/abs/1805.10715","open_access":"1"}],"citation":{"short":"T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165.","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>.","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.","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>","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>","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>.","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."},"isi":1,"article_processing_charge":"No","page":"3099-3165","language":[{"iso":"eng"}],"author":[{"full_name":"Browning, Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","last_name":"Browning"},{"first_name":"Roger","last_name":"Heath Brown","full_name":"Heath Brown, Roger"}],"arxiv":1,"oa":1,"publication_identifier":{"issn":["0012-7094"]},"scopus_import":"1","month":"09","volume":169}]