论文标题
$ k3 $表面上的2个辅助点
2-adic point counting on $K3$ surfaces
论文作者
论文摘要
本文报告了一种基于对$ 2 $ -ADIC正交组的详细调查的有限领域的代数品种的点方法。将新方法与$ p $ -ADIC方法相结合，我们计算了所有Primes $ p <10^8 $的字段$ \ bbf _ {\！p} $上一些$ k3 $表面的点数。
This article reports on an approach to point counting on algebraic varieties over finite fields that is based on a detailed investigation of the $2$-adic orthogonal group. Combining the new approach with a $p$-adic method, we count the number of points on some $K3$ surfaces over the field $\bbF_{\!p}$, for all primes $p < 10^8$.
