Equimultiplicity of families of map germs from $\mathbb{C}^2$ to $\mathbb{C}^3$

Otoniel Nogueira da Silva

arxiv: 1902.05139 · v2 · pith:RI6LNGHQnew · submitted 2019-02-13 · 🧮 math.AG

Equimultiplicity of families of map germs from mathbb{C}² to mathbb{C}³

Otoniel Nogueira da Silva This is my paper

classification 🧮 math.AG

keywords conjecturezariskifamiliesmathbbmultiplicitysingularitiesanswerclass

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In 1971, Zariski proposed some questions in Theory of Singularities. One of such problems is the so-called, nowadays, Zariski's multiplicity conjecture. In this work, we consider the version of this conjecture for families. We answer positively Zariski's multiplicity conjecture for a special class of non-isolated singularities.

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Equimultiplicity of families of map germs from mathbb{C}² to mathbb{C}³

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