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Canonical heights, invariant currents, and dynamical systems of morphisms associated with line bundles

Shu Kawaguchi
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Abstract

We construct canonical heights of subvarieties for dynamical system of several morphisms associated with line bundles defined over a number field, and study some of their properties. We also construct invariant currents for such systems over $\mathbb{C}$.

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Shu Kawaguchi. 2004-05-01. Canonical heights, invariant currents, and dynamical systems of morphisms associated with line bundles. https://arxiv.org/abs/math/0405006

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