Shu Kawaguchi

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19972004

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

7 citations · 7 across the 2 of their papers we have counts for

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math.NT2004

Canonical height functions on the affine plane associated with polynomial automorphisms

Shu Kawaguchi

Let $f : A^{2} \to A^{2}$ be a polynomial automorphism of dynamical degree $δ \geq 2$ over a number field $K$ . (This is equivalent to say that $f$ is a polynomial autom…

math.NT2004★ 7 cited

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

Shu Kawaguchi

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 propertie…