Equidistribution towards the Green current for holomorphic maps
动力系统
2008-01-09 v3 复变函数
摘要
Let f be a non-invertible holomorphic endomorphism of a projective space and f^n its iterate of order n. We prove that the pull-back by f^n of a generic (in the Zariski sense) hypersurface, properly normalized, converge to the Green current associated to f when n tends to infinity. We also give an analogous result for the pull-back of positive closed (1,1)-currents.
引用
@article{arxiv.math/0609686,
title = {Equidistribution towards the Green current for holomorphic maps},
author = {Tien-Cuong Dinh and Nessim Sibony},
journal= {arXiv preprint arXiv:math/0609686},
year = {2008}
}
备注
34 pages, added theorem, propositions, references, to appear in Ann. Sci. ENS