A survey of the Poincaré Center Problem in degree 3 using finite field heuristics

Mathematics – Algebraic Geometry

Scientific paper

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21 pages, one figure. Programs uses are available at http://www.centerfocus.de

Scientific paper

We compare a heuristic count of components of the center variety in degree 3
with the equivalent count obtained from known families. From this comparison we
conjecture that more than 100 unknown components exist.

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