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The local image problem for complex analytic maps

Cezar Joiţa Institute of Mathematics of the Romanian Academy, Bucharest, Romania Mihai Tibăr Laboratoire Paul Painlevé, Université de Lille, France

Complex Variables and Complex Analysis mathscidoc:2203.08007

Arkiv for Matematik, 59, (2), 2021.11
We address the question “when the local image of a map is well defined” and answer it in case of holomorphic map germs with target (C^2,0). We prove a criterion for holomorphic map germs (X,x)→(Y,y) to be locally open, solving a conjecture by Huckleberry in all dimensions.
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@inproceedings{cezar2021the,
  title={The local image problem for complex analytic maps},
  author={Cezar Joiţa, and Mihai Tibăr},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220311110935506716964},
  booktitle={Arkiv for Matematik},
  volume={59},
  number={2},
  year={2021},
}
Cezar Joiţa, and Mihai Tibăr. The local image problem for complex analytic maps. 2021. Vol. 59. In Arkiv for Matematik. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220311110935506716964.
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