Invariant hypersurfaces of endomorphisms of the projective 3-space

  title={Invariant hypersurfaces of endomorphisms of the projective 3-space},
  author={De-Qi Zhang},
  journal={arXiv: Algebraic Geometry},
  • De-Qi Zhang
  • Published 6 April 2011
  • Mathematics
  • arXiv: Algebraic Geometry
We consider surjective endomorphisms f of degree > 1 on the projective n-space with n = 3, and f^{-1}-stable hypersurfaces V. We show that V is a hyperplane (i.e., deg(V) = 1) but with four possible exceptions; it is conjectured that deg(V) = 1 for any n > 1. 
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