Mathematics – Dynamical Systems
Scientific paper
2007-04-16
Mathematics
Dynamical Systems
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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