Quadratic centers defining elliptic surfaces

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Let $X$ be a quadratic vector field with a center whose generic orbits are algebraic curves of genus one. To each $X$ we associate an elliptic surface (a smooth complex compact surface which is a genus one fibration). We give the list of all such vector fields and determine the corresponding elliptic surfaces.
24 pages, 16 Figures, 8 Tables

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Dynamical Systems, 34C07

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http://salesiana.dossiersoluciones.com/handle/123456789/146667

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.1948
 http://arxiv.org/abs/0704.1948

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arXiv