Mathematische Annalen

, Volume 330, Issue 1, pp 39–43 | Cite as

Linearity of the exceptional set for maps of P k (C)

  • Jean-Yves Briend
  • Serge Cantat
  • Mitsuhiro Shishikura
Article

Abstract.

Let f be a holomorphic self-map of P k (C), with degree larger than 2. We show that its exceptional set is a finite union of linear subspaces.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Jean-Yves Briend
    • 1
  • Serge Cantat
    • 2
  • Mitsuhiro Shishikura
    • 3
  1. 1.Université de ProvenceLaboratoire AnalyseMarseille cedex 13France
  2. 2.Université de Rennes IRennes cedexFrance
  3. 3.Kyoto UniversityFaculty of ScienceKyotoJapan

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