Quadratic centers defining elliptic surfaces

Mathematics – Dynamical Systems

Scientific paper

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24 pages, 16 Figures, 8 Tables

Scientific paper

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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