article Density of rational points on a quadric bundle in ℙ3×ℙ3 published yes Timothy D Browning author 35827D50-F248-11E8-B48F-1D18A9856A870000-0002-8314-0177 Roger Heath Brown author TiBr department 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. Duke University Press2020 eng Duke Mathematical Journal 0012-7094 1805.10715 00058267630000210.1215/00127094-2020-0031 169163099-3165 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>. T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165. 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> 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> 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>. Browning TD, Heath Brown R. 2020. Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. 169(16), 3099–3165. 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. 1792018-12-11T11:45:02Z2026-08-06T11:22:52Z