Newton polygons and Böttcher coordinates near infinity for polynomial skew products

被引:0
|
作者
Ueno, Kohei [1 ]
机构
[1] Daido Univ, Coll Gen Educ, Nagoya, Japan
来源
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2025年
关键词
Complex dynamics; B & ouml; ttcher coordinates; polynomial skew products; Newton polygons; blow-ups; weighted projective spaces; WEIGHTED GREEN-FUNCTIONS; DYNAMICS;
D O I
10.1080/14689367.2025.2459088
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let $ f(z,w)=(p(z),q(z,w)) $ f(z,w)=(p(z),q(z,w)) be a polynomial skew product such that the degrees of p and q are grater than or equal to 2. Under one or two conditions, we prove that f is conjugate to a monomial map on an invariant region near infinity. The monomial map and the region are determined by the degree of p and a Newton polygon of q. Moreover, the region is included in the attracting basin of a superattracting fixed or indeterminacy point at infinity, or in the closure of the attracting basins of two point at infinity.
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页数:29
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