--- _id: '179' 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. article_processing_charge: No article_type: original author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: Roger full_name: Heath Brown, Roger last_name: Heath Brown citation: ama: Browning TD, Heath Brown R. Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. 2020;169(16):3099-3165. doi:10.1215/00127094-2020-0031 apa: Browning, T. D., & Heath Brown, R. (2020). Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-2020-0031 chicago: Browning, Timothy D, and Roger Heath Brown. “Density of Rational Points on a Quadric Bundle in ℙ3×ℙ3.” Duke Mathematical Journal. Duke University Press, 2020. https://doi.org/10.1215/00127094-2020-0031. ieee: T. D. Browning and R. Heath Brown, “Density of rational points on a quadric bundle in ℙ3×ℙ3,” Duke Mathematical Journal, vol. 169, no. 16. Duke University Press, pp. 3099–3165, 2020. 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. mla: Browning, Timothy D., and Roger Heath Brown. “Density of Rational Points on a Quadric Bundle in ℙ3×ℙ3.” Duke Mathematical Journal, vol. 169, no. 16, Duke University Press, 2020, pp. 3099–165, doi:10.1215/00127094-2020-0031. short: T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165. date_created: 2018-12-11T11:45:02Z date_published: 2020-09-10T00:00:00Z date_updated: 2023-10-17T12:51:10Z day: '10' department: - _id: TiBr doi: 10.1215/00127094-2020-0031 external_id: arxiv: - '1805.10715' isi: - '000582676300002' intvolume: ' 169' isi: 1 issue: '16' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1805.10715 month: '09' oa: 1 oa_version: Preprint page: 3099-3165 publication: Duke Mathematical Journal publication_identifier: issn: - 0012-7094 publication_status: published publisher: Duke University Press quality_controlled: '1' status: public title: Density of rational points on a quadric bundle in ℙ3×ℙ3 type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 169 year: '2020' ...