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https://doi.org/10.1016/j.aim.2013.10.014
Title: | Invariant hypersurfaces of endomorphisms of projective varieties | Authors: | Zhang, D.-Q. | Keywords: | Complex dynamics Endomorphism Iteration Projective spaces |
Issue Date: | 15-Feb-2014 | Citation: | Zhang, D.-Q. (2014-02-15). Invariant hypersurfaces of endomorphisms of projective varieties. Advances in Mathematics 252 : 185-203. ScholarBank@NUS Repository. https://doi.org/10.1016/j.aim.2013.10.014 | 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. © 2013 Elsevier Inc. | Source Title: | Advances in Mathematics | URI: | http://scholarbank.nus.edu.sg/handle/10635/103444 | ISSN: | 00018708 | DOI: | 10.1016/j.aim.2013.10.014 |
Appears in Collections: | Staff Publications |
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