Inverse problems for invariant algebraic curves
Given an algebraic curve in the complex affine plane, we describe how to determine all planar polynomial vector fields which leave this curve invariant. If all (finite) singular points of the curve are nondegenerate, we give an explicit expression for these vector fields. In the general setting we p...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2007 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:44082 |
| Online Access: | https://ddd.uab.cat/record/44082 |
| Access Level: | Open access |
| Keyword: | Corbes algèbriques Equacions diferencials |
| Summary: | Given an algebraic curve in the complex affine plane, we describe how to determine all planar polynomial vector fields which leave this curve invariant. If all (finite) singular points of the curve are nondegenerate, we give an explicit expression for these vector fields. In the general setting we provide an algorithmic approach, and as an alternative we discuss sigma processes. |
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