Regular Polynomial Endomorphisms of C^k
动力系统
2007-05-23 v1 复变函数
摘要
We study the dynamics of polynomial mappings f:C^k to C^k of degree at least 2 that extend continuously to projective space P^k. Our approach is to study the dynamics near the hyperplane at infinity and then making a descent to K --- the set of points with bounded orbits --- via external rays.
引用
@article{arxiv.math/9805080,
title = {Regular Polynomial Endomorphisms of C^k},
author = {Eric Bedford and Mattias Jonsson},
journal= {arXiv preprint arXiv:math/9805080},
year = {2007}
}
备注
54 pages. PostScript figures