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- W2806421059 abstract "We study the behaviour (in the infinitesimal neighbourhood of the singularity) of a singular plane branch under the action of holomorphic flows. The techniques we develop provide a new elementary, geometric and dynamical solution to Zariski's moduli problem for singular branches in $({mathbb C}^{2},0)$. Furthermore, we study whether elements of the same class of analytic conjugacy are conjugated by a holomorphic flow; in particular we show that there exists an analytic class that is not complete: meaning that there are two elements of the class that are not analytically conjugated by a local diffeomorphism embedded in a one-parameter flow." @default.
- W2806421059 created "2018-06-13" @default.
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- W2806421059 date "2017-06-26" @default.
- W2806421059 modified "2023-09-27" @default.
- W2806421059 title "Analytic Moduli of Plane Branches and Holomorphic Flows." @default.
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