Dicritical logarithmic foliations
We show the existence of weak logarithmic models for any (dicritical or not) holomorphic foliation F of (C2 , 0) without saddlenodes in its desingularization. The models are written in terms of a representative set of separatrices, whose equisingularity types are controlled by the Milnor number of t...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2006 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:5130 |
| Online Access: | https://ddd.uab.cat/record/5130 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_50106_05 |
| Access Level: | Open access |
| Keyword: | Singular foliations Dicritical foliations Logarithmic forms Pencil of curves Singularities |
| Summary: | We show the existence of weak logarithmic models for any (dicritical or not) holomorphic foliation F of (C2 , 0) without saddlenodes in its desingularization. The models are written in terms of a representative set of separatrices, whose equisingularity types are controlled by the Milnor number of the foliation. |
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