Brolin's Theorem for curves in two complex dimensions
Dynamical Systems
2007-05-23 v1 Complex Variables
Abstract
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.
Keywords
Cite
@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}
}
Comments
30 pages