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arxiv: math/0405006 · v1 · submitted 2004-05-01 · 🧮 math.NT · math.AG

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

classification 🧮 math.NT math.AG
keywords associatedbundlescanonicalconstructcurrentsdynamicalheightsinvariant
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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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