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Completeness is determined by any non-algebraic trajectory |
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| Authors: | Alvaro Bustinduy Luis Giraldo |
| Affiliation: | 1. Departamento de Ingeniería Industrial, Escuela Politécnica Superior, Universidad Antonio de Nebrija, C/ Pirineos 55, 28040 Madrid, Spain;2. Departamento de Geometría y Topología, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040 Madrid, Spain |
| Abstract: | It is proved that any polynomial vector field in two complex variables which is complete on a non-algebraic trajectory is complete. |
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