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arXiv · 2403.09844

The image complexity of an analytic map germ

Cezar Joiţa·Mihai Tibăr
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Abstract

The image of a holomorphic map germ is not necessarily locally open, and it is not always well-defined as a set germ. We find the structure of what becomes the image of a map germ when the target is a surface. We encode it as a decorated tree and we derive a complexity degree.

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Cezar Joiţa, Mihai Tibăr. 2024-07-10. The image complexity of an analytic map germ. https://arxiv.org/abs/2403.09844

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