Quadratic centers defining elliptic surfaces

Sebastien Gautier

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arXiv · 0704.1948

Quadratic centers defining elliptic surfaces

Sebastien Gautier

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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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BibTeX RIS

Sebastien Gautier. 2008-01-29. Quadratic centers defining elliptic surfaces. https://arxiv.org/abs/0704.1948

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