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arXiv · 1810.05158

The local image problem for complex analytic maps

Cezar Joiţa·Mihai Tibăr
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Abstract

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 $(\bC^{2}, 0)$. We prove a criterion for holomorphic map germs $(X, x)\to (Y, y)$ to be locally open, solving a conjecture by Huckleberry in all dimensions.

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Cezar Joiţa, Mihai Tibăr. 2018-10-11. The local image problem for complex analytic maps. https://doi.org/10.4310/arkiv.2021.v59.n2.a5

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