Proceedings of the Japan Academy, Series A, Mathematical Sciences

A remark on tame dynamics in compact complex manifolds

Kazutoshi Maegawa

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Abstract

We will investigate the dynamics of a holomorphic self-map $f$ of a compact complex manifold $M$ such that the sequence $\{ f^{n}\}_{n\ge 1}$ has at least one subsequence which converges uniformly on $M$.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 84, Number 3 (2008), 48-49.

Dates
First available in Project Euclid: 3 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.pja/1204555685

Digital Object Identifier
doi:10.3792/pjaa.84.48

Mathematical Reviews number (MathSciNet)
MR2398579

Zentralblatt MATH identifier
1161.32007

Subjects
Primary: 32H50: Iteration problems
Secondary: 55M20: Fixed points and coincidences [See also 54H25] 57R20: Characteristic classes and numbers

Keywords
Normal family Lefschetz fixed-point theory compact complex manifolds

Citation

Maegawa, Kazutoshi. A remark on tame dynamics in compact complex manifolds. Proc. Japan Acad. Ser. A Math. Sci. 84 (2008), no. 3, 48--49. doi:10.3792/pjaa.84.48. https://projecteuclid.org/euclid.pja/1204555685


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References

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