A Computational Investigation of Wehler K3 Surfaces
نویسنده
چکیده
This article examines dynamical systems on a class of K3 surfaces in P×P with an infinite automorphism group. In particular, this article develops an algorithm to find Q-rational periodic points using information over Fp for various primes p. This algorithm is then optimized to examine the growth of the average number of cycles versus p and to determine the number of Fpm -rational points. The point counting optimization is used to determine the Riemann Zeta function over F3 of a particular surface.
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تاریخ انتشار 2008