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arXiv · 1102.4860

Equidistribution of periodic points of some automorphisms on K3 surfaces

Chong Gyu Lee
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Abstract

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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Chong Gyu Lee. 2011-02-23. Equidistribution of periodic points of some automorphisms on K3 surfaces. https://arxiv.org/abs/1102.4860

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