Invariant hypersurfaces of endomorphisms of the projective 3-space
Algebraic Geometry
2018-06-20 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1104.1142,
title = {Invariant hypersurfaces of endomorphisms of the projective 3-space},
author = {De-Qi Zhang},
journal= {arXiv preprint arXiv:1104.1142},
year = {2018}
}
Comments
16 pages; submitted to The Proceedings of the Conference on Affine Algebraic Geometry, Osaka, March 2011, in honour of Prof M. Miyanishi