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arXiv 1904.07571math.CVmath.AG
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解析映射芽和奇异纤维化的图像

Images of analytic map germs, and singular fibrations

Cezar Joiţa, Mihai Tibăr

摘要:

对于映射胚芽$G$与目标$(\mathbb C^{p}, 0)$或$(\mathbb R^{p}, 0)$与$p\ge 2$,我们解决了两个现象,不发生时,$p=1$:$G$的图像可能不是很好地定义为一个集胚芽,和一个局部纤维化附近的原点可能不存在。我们展示了这两种现象是如何相关的,以及它们是如何被描述的。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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