The Zariski problem for homogeneous and quasi-homogeneous curves
Also appears in collection : Applications of Artin approximation in singularity theory / Applications de l'approximation de Artin en théorie des singularités
The Zariski problem concerns the analytical classification of germs of curves of the complex plane $\mathbb{C}^2$. In full generality, it is asked to understand as accurately as possible the quotient $\mathfrak{M}(f_0)$ of the topological class of the germ of curve $\lbrace f_0(x, y) = 0 \rbrace$ up to analytical equivalence relation. The aim of the talk is to review, as far as possible, the approach of Zariski as well as the recent developments. (Full abstract in attachment).
O. Zariski - analytic classification - foliation - germ - Puiseux expansion
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