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A remark on tame dynamics in compact complex manifolds (Q930132)

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scientific article; zbMATH DE number 5291471
Language Label Description Also known as
English
A remark on tame dynamics in compact complex manifolds
scientific article; zbMATH DE number 5291471

    Statements

    title
    A remark on tame dynamics in compact complex manifolds (English)
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    author
    Kazutoshi Maegawa
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    publication date
    20 June 2008
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    review text
    This article deals with the dynamics of holomorphic self-maps of compact complex manifolds \(f : M \to M\). Assume that there is at least one subsequence of \((f^n)_n\) which converges uniformly on \(M\). Then the number of possible (exact) periods for periodic points is finite, and the set of periodic points is a complex submanifold of \(M\). Moreover, if that set is discrete, then its cardinal coincides with the Euler characteristic of \(M\).
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    zbMATH Keywords
    normal family
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    holomorphic dynamics
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    Identifiers

    Mathematics Subject Classification ID
    32H50
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    37C05
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    37C25
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    zbMATH DE Number
    5291471
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    OpenAlex ID
    W2082849428
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    DOI
    10.3792/PJAA.84.48
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