Jordan tori and polynomial endomorphisms in $ℂ^2$

Manfred Denker; Stefan Heinemann

Displaying similar documents to “Jordan tori and polynomial endomorphisms in $ℂ^{2}$ ”

On regular polynomial endomorphisms of ℂ2 without bounded critical orbitswithout bounded critical orbits

Małgorzata Stawiska (2005)

Open Mathematics

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We study conditions involving the critical set of a regular polynomial endomorphism f∶ℂ2↦ℂ2 under which all complete external rays from infinity for f have well defined endpoints.

Distributional chaos on tree maps: the star case

Jose S. Cánovas (2001)

Commentationes Mathematicae Universitatis Carolinae

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Let $𝕏 = {z \in ℂ : z^{n} \in [0, 1]}$ , $n \in ℕ$ , and let $f : 𝕏 \to 𝕏$ be a continuous map having the branching point fixed. We prove that $f$ is distributionally chaotic iff the topological entropy of $f$ is positive.

The set of points at which a polynomial map is not proper

Zbigniew Jelonek (1993)

Annales Polonici Mathematici

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We describe the set of points over which a dominant polynomial map $f = (f_{1}, . . ., f_{n}) : ℂ^{n} \to ℂ^{n}$ is not a local analytic covering. We show that this set is either empty or it is a uniruled hypersurface of degree bounded by $(\prod_{i = 1}^{n} d e g f_{i} - μ (f)) / (m i n_{i = 1, . . ., n} d e g f_{i})$ .