论文标题
随机Fano Hypersurfaces上合理点的高度
Height of rational points on random Fano hypersurfaces
论文作者
论文摘要
我们以统计方式研究了在理性数字领域定义的Fano Hypersurface上理性点的最小高度。在此过程中，我们建立了Manin的猜想的平均版本，内容涉及Fano品种在Fano品种上的有限高度的数量，用于完整的Fano Hypersurfaces的固定度和尺寸。
We investigate in a statistical fashion the smallest height of a rational point on a Fano hypersurface defined over the field of rational numbers. Along the way, we establish an average version of Manin's conjecture about the number of rational points of bounded height on Fano varieties for the complete family of Fano hypersurfaces of fixed degree and dimension.
