Equidistribution of varieties for endomorphisms of projective spaces
Dynamical Systems
2011-09-13 v1 Complex Variables
Abstract
Let f be a non-invertible holomorphic endomorphism of the complex projective space P^k and f^n its iterate of order n. Let V be an algebraic subvariety of P^k which is generic in the Zariski sense. We give here a survey on the asymptotic equidistribution of the sequence when n goes to infinity.
Keywords
Cite
@article{arxiv.1109.2349,
title = {Equidistribution of varieties for endomorphisms of projective spaces},
author = {Tien-Cuong Dinh and Nessim Sibony},
journal= {arXiv preprint arXiv:1109.2349},
year = {2011}
}
Comments
11 pages, to appear in Vietnam J. Math., the volume in honor of Professor Ha Huy Khoai