Pedro Fortuny Ayuso
Abstract
We study the behaviour of a singular plane branch under holomorphic flows. Using them, we provide a new elementary, geometric and dynamical proof of the analytic classification of analytic branches in $(\mathbb{C}^2,0)$.
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We study the behaviour of a singular plane branch under holomorphic flows. Using them, we provide a new elementary, geometric and dynamical proof of the analytic classification of analytic branches in $(\mathbb{C}^2,0)$.
Key concepts: Holomorphic function, Plane (geometry), Complex plane, Mathematics, Pure mathematics, Dynamical systems theory, Geometry, Mathematical analysis