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arXiv · 1904.07571

Images of analytic map germs, and singular fibrations

Cezar Joiţa·Mihai Tibăr
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Abstract

For a map germ $G$ with target $(\mathbb C^{p}, 0)$ or $(\mathbb R^{p}, 0)$ with $p\ge 2$, we address two phenomena which do not occur when $p=1$: the image of $G$ may be not well-defined as a set germ, and a local fibration near the origin may not exist. We show how these two phenomena are related, and how they can be characterised.

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Cezar Joiţa, Mihai Tibăr. 2019-04-16. Images of analytic map germs, and singular fibrations. https://doi.org/10.1007/s40879-019-00372-1

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