Newton polygons and B\'{o}ttcher coordinates near infinity for polynomial skew products
| Autor: | Ueno, Kohei |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let $f(z,w)=(p(z),q(z,w))$ 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. Comment: 24 pages, 8 tables. arXiv admin note: text overlap with arXiv:1803.10422 |
| Databáze: | arXiv |
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