Virtually Repelling Fixed Points
نویسنده
چکیده
In this article, we study the notion of virtually repelling fixed point. We first give a definition and an interpretation of it. We then prove that most proper holomorphic mappings f : U → V with U contained in V have at least one virtually repelling fixed point. 1. Preliminaries Let f : (C, α) → (C, α) be a holomorphic germ fixing α. Definition 1. The multiplicity m of α as a fixed point of f is the residue m = residue ( 1 − f ′(z) z − f(z) dz, α )
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