2025/01/28 by Huang, Zhizhong, Schindler, Damaris, Shute, Alec · 2 citations
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2501.16766
The purpose of this article is twofold. On the one hand, we prove asymptotic formulas for the quantitative distribution of rational points on any smooth non-split projective quadratic surface. We obtain the optimal error term for the real place. On the other hand, we also study the growth of integral points on the three-dimensional punctured affine cone, as a quantitative version of strong approximation with Brauer--Manin obstruction for this quasi-affine variety.