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

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

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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Veröffentlicht in:Mathematische annalen 2004-09, Vol.330 (1), p.39-43
Hauptverfasser: Briend, Jean-Yves, Cantat, Serge, Shishikura, Mitsuhiro
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-004-0532-3