The local image problem for complex analytic maps

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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References in corpus (1)

• Images of analytic map germs, and singular fibrations