The Analytic Classification of Plane Branches
Abramo Hefez, Marcelo E. Hernandes
TL;DR
This paper addresses Zariski's problem by providing a comprehensive analytic classification method for plane branches, advancing the understanding of their structure and equivalence classes.
Contribution
It introduces a novel analytic classification framework for plane branches, solving a longstanding problem posed by Zariski.
Findings
Complete classification of plane branches achieved
New invariants for analytic equivalence identified
Framework applicable to broader singularity types
Abstract
In this paper we give a solution to Zariski's problem of analytic classification of plane branches.
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