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arXiv · 1104.1142

Invariant hypersurfaces of endomorphisms of the projective 3-space

De-Qi Zhang
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Abstract

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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De-Qi Zhang. 2011-04-06. Invariant hypersurfaces of endomorphisms of the projective 3-space. https://arxiv.org/abs/1104.1142

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