Document Type
Article
Date
1-6-2004
Disciplines
Mathematics
Description/Abstract
Let f be a polynomial automorphism of Ck of degree lamda, whose rational extension to Pk maps the hyperplane at infinity to a single point. Given any positive closed current S on Pk of bidegree (1,1), we show that the sequence lamda−n(fn)*S converges in the sense of currents on Pk to a linear combination of the Green current T+ of f and the current of integration along the hyperplane at infinity. We give an interpretation of the coefficients in terms of generalized Lelong numbers with respect to an invariant dynamical current for f−1.
Recommended Citation
Coman, Dan and Guedj, Vincent, "Invariant Currents and Dynamical Lelong Numbers" (2004). Mathematics - All Scholarship. 13.
https://surface.syr.edu/mat/13
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This article is from arXiv.org, for more information see http://arxiv.org/abs/math/0401046