A survey of the Poincar\'e Center Problem in degree 3 using finite field heuristics
Algebraic Geometry
2010-12-16 v1 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1012.3402,
title = {A survey of the Poincar\'e Center Problem in degree 3 using finite field heuristics},
author = {Hans-Christian Graf v. Bothmer and Jakob Kröker},
journal= {arXiv preprint arXiv:1012.3402},
year = {2010}
}
Comments
21 pages, one figure. Programs uses are available at http://www.centerfocus.de