Brolin's Theorem for curves in two complex dimensions
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2007-05-23 v1 复变函数
摘要
Given a holomorphic selfmap f of the complex projective plane of algebraic degree at least 2, we give sufficient conditions on a positive closed (1,1) current S of unit mass under which the normalized pullbacks of S under iterates of f converge to the Green current T. In particular, we completely characterize the plane algebraic curves whose normalized pullbacks converge weakly to T.
引用
@article{arxiv.math/0105260,
title = {Brolin's Theorem for curves in two complex dimensions},
author = {Charles Favre and Mattias Jonsson},
journal= {arXiv preprint arXiv:math/0105260},
year = {2007}
}
备注
30 pages