%0 Journal Article %T Center conditions for polynomial differential equations: discussion of some problems %A Hossein Movasati %J Mathematics %D 2005 %I arXiv %X Classifications of irreducible components of the set of polynomial differential equations with a fixed degree and with at least one center singularity lead to some other new problems on Picard-Lefschetz theory and Brieskorn modules of polynomials. In this article we explain these problems and their connections to such classifications. %U http://arxiv.org/abs/math/0512357v1