Dynamical compactifications of C2

• 成果类型: Article
• 署名作者: Favre, Charles; Jonsson, Mattias
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2011.173.1.6
• 发表日期: 2011
• 页码: 211-248
• 关键词: polynomial-mappings; degree-growth; henon mappings; intersection theory; rational mappings; meromorphic maps; currents; recurrences; SEQUENCES; SURFACES

摘要

We find good dynamical compactifications for arbitrary polynomial mappings of C-2 and use them to show that the degree growth sequence satisfies a linear integral recursion formula. For maps of low topological degree we prove that the Green function is well behaved. For maps of maximum topological degree, we give normal forms.