Quadratic centers defining elliptic surfaces |
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Authors: | Sébastien Gautier |
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Institution: | Université Paul Sabatier, Haute-Garonne, 118 Route de Narbonne, Toulouse cedex 4, France |
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Abstract: | 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. |
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