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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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