The image complexity of an analytic map germ

Fuente: arXiv
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Autores principales: Joiţa, Cezar, Tibăr, Mihai
Formato: Preprint
Publicado: 2024
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author Joiţa, Cezar
Tibăr, Mihai
author_facet Joiţa, Cezar
Tibăr, Mihai
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_09844
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The image complexity of an analytic map germ
Joiţa, Cezar
Tibăr, Mihai
Complex Variables
Algebraic Geometry
32B10, 32S45, 32C20, 14E18
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.
title The image complexity of an analytic map germ
topic Complex Variables
Algebraic Geometry
32B10, 32S45, 32C20, 14E18
url https://arxiv.org/abs/2403.09844