Equidistribution of periodic points of some automorphisms on K3 surfaces

Details Equidistribution of periodic points of some automorphisms on K3 surfaces Equidistribution of periodic points of some automorphisms on K3 surfaces

2011-02-23

arxiv.org/abs/1102.4860v1

Mathematics

Number Theory

Scientific paper

We say (W, \{\phi_1,..., \phi_t\}) is a polarizable dynamical system of several morphisms if \phi_i are endomorphisms on a projective variety $W$ such that \bigotimes \phi_i^*L is linearly equivalent to L^q} for some ample line bundle L on W and for some q>t. If q is a rational number, then we have the equidistribution of small points of given dynamical system because of Yuan's work. As its application, we can build a polarizable dynamical system of an automorphism and its inverse on $K3$ surface and show its periodic points are equidistributed.

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