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Exceptional points of an endomorphism of the projective plane

Exceptional points of an endomorphism of the projective plane Let f an endomorphism of [InlineMediaObject not available: see fulltext.] of degree >1. We show how to obtain a bound (depending only on n) on the number of codimension-two subspaces in [InlineMediaObject not available: see fulltext.] which are completely invariant for f (where “L is completely invariant for f” means that f −1(L)=L set-theoretically). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

Exceptional points of an endomorphism of the projective plane

Amerik, E.; Campana, F.
Mathematische Zeitschrift , Volume 249 (4) – Oct 15, 2004
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References (7)

Publisher
Springer Journals
Copyright
Copyright © 2004 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s00209-004-0727-z
Publisher site
See Article on Publisher Site

Abstract

Let f an endomorphism of [InlineMediaObject not available: see fulltext.] of degree >1. We show how to obtain a bound (depending only on n) on the number of codimension-two subspaces in [InlineMediaObject not available: see fulltext.] which are completely invariant for f (where “L is completely invariant for f” means that f −1(L)=L set-theoretically).

Journal

Mathematische Zeitschrift – Springer Journals

Published: Oct 15, 2004

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