Another construction of a Cantor bouquet at a fixed indeterminate point
Autor: | Tomoko Shinohara |
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Jazyk: | angličtina |
Rok vydání: | 2010 |
Předmět: | |
Zdroj: | Kyoto J. Math. 50, no. 1 (2010), 205-224 |
Popis: | In this article, we study the local dynamical structure of a rational mapping $F$ of $\mathbf{P}^{2}$ at a fixed indeterminate point $p$ . Using a sequence of blowups, we construct a family $\{\tilde{W}_{\mathbf{j}}\}_{{\mathbf{j}}\in J}$ of germs of holomorphic curve at the point $p$ , where $J$ is a subset of a Cantor set $\{1,2\}^{\mathbf{N}}$ . This is a new construction for a Cantor bouquet. |
Databáze: | OpenAIRE |
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