Calabi theorem and algebraic dynamics
نویسنده
چکیده
The aim of this paper is to prove a Calabi theorem for metrized line bundles over non-archimedean analytic spaces, and apply it to endomorphisms with the same polarization and the same set of preperiodic points over a complex projective variety. The proof uses Arakelov theory on Berkovich’s non-archimedean analytic spaces even though the results on dynamical systems can be purely stated over complex numbers. In the following, we will describe our results and main ideas in details.
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