The image complexity of an analytic map germ
Complex Variables
2024-07-11 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2403.09844,
title = {The image complexity of an analytic map germ},
author = {Cezar Joiţa and Mihai Tibăr},
journal= {arXiv preprint arXiv:2403.09844},
year = {2024}
}
Comments
24 p, an "image complexity degree" has been added up