Abstract

We say (W; fϕ1; : : : ; ϕ tg) is a polarizable dynamical system of several morphisms if ϕi are endomorphisms on a projective variety W such that ⊗ ϕ � 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 (13). As its application, we can build a polarizable dynamical system of an automorphism and its inverse on a K 3 surface and can show that its periodic points are equidistributed.

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