Quadratic centers defining elliptic surfaces
Dynamical Systems
2008-01-29 v2
Abstract
Let be a quadratic vector field with a center whose generic orbits are algebraic curves of genus one. To each 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.
Keywords
Cite
@article{arxiv.0704.1948,
title = {Quadratic centers defining elliptic surfaces},
author = {Sebastien Gautier},
journal= {arXiv preprint arXiv:0704.1948},
year = {2008}
}
Comments
24 pages, 16 Figures, 8 Tables