EQUIDISTRIBUTION OF PERIODIC POINTS OF SOME AUTOMORPHISMS ON K3 SURFACES

Title & Authors
EQUIDISTRIBUTION OF PERIODIC POINTS OF SOME AUTOMORPHISMS ON K3 SURFACES
Lee, Chong-Gyu;

Abstract
We say (W, {$\small{{\phi}_1,\;{\ldots}\;,{\phi}_t}$}) is a polarizable dynamical system of several morphisms if $\small{{\phi}_i}$ are endomorphisms on a projective variety W such that $\small{{\otimes}{\phi}_i^*L}$ is linearly equivalent to $\small{L^{{\otimes}q}}$ 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 [13]. As its application, we can build a polarizable dynamical system of an automorphism and its inverse on a K3 surface and can show that its periodic points are equidistributed.
Keywords
equidistribution;height;dynamical system;K3 surface;auto-morphism;
Language
English
Cited by
1.
HEIGHT ESTIMATES FOR DOMINANT ENDOMORPHISMS ON PROJECTIVE VARIETIES, East Asian mathematical journal, 2016, 32, 1, 61
2.
The equidistribution of small points for strongly regular pairs of polynomial maps, Mathematische Zeitschrift, 2013, 275, 3-4, 1047
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