AI 中文总结
研究数域上光滑分裂五次 del Pezzo 曲面上线外有理点的等分布及 Manin 猜想，基于通用定理，借助挠子方法和多个等价高度函数进行证明。
AI 中文摘要
我们证明了数域上光滑分裂五次 del Pezzo 曲面上线外有理点关于任意反典范高度的等分布以及 Manin 猜想。证明基于一个通用定理，该定理在使用挠子方法及多个等价高度函数处理 Manin 问题变体时，可广泛用于推导等分布。
英文摘要
We prove equidistribution and Manin's conjecture for rational points outside the lines on smooth split quintic del Pezzo surfaces over number fields with respect to any anticanonical height. The proof is based on a general theorem that is broadly usable to deduce equidistribution when using the torsor method with several equivalent height functions to treat variants of Manin's problem.
Comments23 pages, 1 figure
