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

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 $\mathbb{C}$.

33 pages

References in corpus (1)

• Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables

Cited by in corpus (5)

• On Quantitative estimates for quasiintegral points in orbits of semigroups of rational functions
• On intersections of polynomial semigroups orbits with plane lines
• Mahler formula on the projective n-space
• Canonical height functions on the affine plane associated with polynomial automorphisms
• Cyclotomic preperiodic points for morphisms in affine spaces and preperiodic points with bounded house and height