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arXiv · 1407.4554

A comprehensive approach to the moduli space of quasi-homogeneous singularities

L. M. Câmara·B. Scardua
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Abstract

We study the relationship between singular holomorphic foliations in $(\mathbb{C}^{2},0)$ and their separatrices. Under mild conditions we describe a complete set of analytic invariants characterizing foliations with quasi-homogeneous separatrices. Further, we give the full moduli space of quasi-homogeneous plane curves. This paper has an expository character in order to make it accessible also to non-specialists.

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L. M. Câmara, B. Scardua. 2014-07-17. A comprehensive approach to the moduli space of quasi-homogeneous singularities. https://arxiv.org/abs/1407.4554

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