Another construction of a Cantor bouquet at a fixed indeterminate point

Autor: Tomoko Shinohara
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