论文标题
有限田的二分点计数
Dichotomous point counts over finite fields
论文作者
论文摘要
我们为任意投射立方三倍的有限场上的分数计数在随机性和结构之间建立了几乎二分法。某些“特殊”次视野，与曼宁猜想中的那些不同。我们还证明了投影性超曲面的新一般结果。我们的工作继续了Hooley发起的询问。
We establish a near dichotomy between randomness and structure for the point counts of arbitrary projective cubic threefolds over finite fields. Certain "special" subvarieties, not unlike those in the Manin conjectures, dominate. We also prove new general results for projective hypersurfaces. Our work continues a line of inquiry initiated by Hooley.
