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

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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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References

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Authors and Affiliations

  1. Université de Provence, Laboratoire Analyse, Topologie et Probabilités/CNRS UMR 6632, CMI, 39, rue F. Joliot–Curie, 13453, Marseille cedex 13, France

    Jean-Yves Briend

  2. Université de Rennes I, IRMAR/CNRS UMR 6625, Campus de Beaulieu, 35042, Rennes cedex, France

    Serge Cantat

  3. Kyoto University, Faculty of Science, Department of Mathematics, Kyoto, 606-8502, Japan

    Mitsuhiro Shishikura

Authors
  1. Jean-Yves Briend
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  2. Serge Cantat
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  3. Mitsuhiro Shishikura
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Correspondence to Jean-Yves Briend.

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Revised version: 16 December 2004

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Briend, JY., Cantat , S. & Shishikura, M. Linearity of the exceptional set for maps of P k (C). Math. Ann. 330, 39–43 (2004). https://doi.org/10.1007/s00208-004-0532-3

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  • DOI: https://doi.org/10.1007/s00208-004-0532-3

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