Topological Moduli Space for Germs of Holomorphic Foliations III: Complete families
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866917685461254144 |
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| author | Marín, David Mattei, Jean-François Salem, Eliane |
| author_facet | Marín, David Mattei, Jean-François Salem, Eliane |
| contents | In this work we use our previous results on the topological classification of generic singular foliation germs on $(\mathbb C^{2},0)$ to construct complete families: after fixing the semi-local topological invariants we prove the existence of a minimal family of foliation germs that contain all the topological classes and such that any equisingular global family with parameter space an arbitrary complex manifold factorizes through it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_07479 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Topological Moduli Space for Germs of Holomorphic Foliations III: Complete families Marín, David Mattei, Jean-François Salem, Eliane Dynamical Systems Classical Analysis and ODEs Complex Variables 37F75, 32M25, 32S50, 32S65, 34M In this work we use our previous results on the topological classification of generic singular foliation germs on $(\mathbb C^{2},0)$ to construct complete families: after fixing the semi-local topological invariants we prove the existence of a minimal family of foliation germs that contain all the topological classes and such that any equisingular global family with parameter space an arbitrary complex manifold factorizes through it. |
| title | Topological Moduli Space for Germs of Holomorphic Foliations III: Complete families |
| topic | Dynamical Systems Classical Analysis and ODEs Complex Variables 37F75, 32M25, 32S50, 32S65, 34M |
| url | https://arxiv.org/abs/2201.07479 |