Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finding Rational Periodic Points on Wehler K3 Surfaces   This article examines dynamical systems on a class of K3 surfaces in
$\mathbb{P}^{2} \times \mathbb{P}^{2}$ with an infinite automorphism group. In
particular, this article develops an algorithm to find $\mathbb{Q}$-rational
periodic points using information modulo $p$ for various primes $p$. The
algorithm is applied to exhibit K3 surfaces with $\mathbb{Q}$-rational periodic
points of primitive period $1,...,16$. 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.

21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat