Abstract An asymptotic formula is established for the number of rational points of bounded anticanonical height which lie on a certain Zariski open subset of an arbitrary smooth biprojective hypersurfaces of bidegree ( 1 , 2 ) in sufficiently many variables. This confirms the Manin conjecture for this variety.

中文翻译：

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在双度 (1, 2) 的双射超曲面上计算有理点

摘要 建立了在足够多的变量中位于任意双度( 1 , 2 ) 的任意光滑双射超曲面的某个Zariski 开子集上的有界反正则高度有理点数的渐近公式。这证实了该品种的 Manin 猜想。