Invariant hypersurfaces of endomorphisms of projective varieties
Algebraic Geometry
2018-09-24 v1 Dynamical Systems
Abstract
We consider surjective endomorphisms f of degree > 1 on projective manifolds X of Picard number one and their f^{-1}-stable hypersurfaces V, and show that V is rationally chain connected. Also given is an optimal upper bound for the number of f^{-1}-stable prime divisors on (not necessarily smooth) projective varieties.
Keywords
Cite
@article{arxiv.1310.5944,
title = {Invariant hypersurfaces of endomorphisms of projective varieties},
author = {De-Qi Zhang},
journal= {arXiv preprint arXiv:1310.5944},
year = {2018}
}
Comments
Advances in Mathematics (to appear)