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math.AG2005
Canonical heights for random iterations in certain varieties
Shu Kawaguchi
We show the existence of canonical heights of subvarieties for bounded sequences of morphisms and give some applications.
math.AG2005
Projective surface automorphisms of positive topological entropy from an arithmetic viewpoint
Shu Kawaguchi
Let X be a smooth projective surface over a number field, and an automorphism of positive topological entropy. In this paper, we construct a height function on X that…