Finding Rational Periodic Points on Wehler K3 Surfaces - NZJM

New Zealand Journal of Mathematics

Benjamin Hutz¹ 

[1] Department of Mathematics and Computer ScienceAmherst CollegeAmherst, MA$$

关键词: periodic points;    K3 surfaces;    dynamical systems.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

This article examines dynamical systems on a class of K3 surfaces inwith an infinite automorphism group. In particular, this article develops an algorithm to find -rational periodic points using information modulo p for various primes p. The algorithm is applied to exhibit K3 surfaces with -rational periodic points of primitive period . A portion of the algorithm is then used to determine the Riemann zeta function modulo 3 of a particular K3 surface and find a family of K3 surfaces with Picard number two.

【 授权许可】

Unknown