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arXiv · 2401.14941

Images of maps from $(\mathbb{C}^2,0)$ to $(\mathbb{C}^n,0)$

Helge Møller Pedersen
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Abstract

Let $F:(\mathbb{C}^2,0)\to (\mathbb{C}^n,0)$ be the germ of a finite map and $(X,0)$ be its image. We will in this article using the topology of the link show that $(X,0)$ has to be a quotient singularity if it is normal and describe the possible topological types. Including a discussion of the groups and examples of how to construct a map to a given topology. We will also discuss the case when the image is not normal.

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BibTeXRIS

Helge Møller Pedersen. 2024-01-26. Images of maps from $(\mathbb{C}^2,0)$ to $(\mathbb{C}^n,0)$. https://arxiv.org/abs/2401.14941

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