Center conditions for polynomial differential equations: discussion of some problems

Details Center conditions for polynomial differential equations: discussion of some problems Center conditions for polynomial differential equations: discussion of some problems

2005-12-15

arxiv.org/abs/math/0512357v1

Research Institute for Mathematical Sciences Kokyuroku 1447, 2005

Mathematics

Classical Analysis and ODEs

7-pages

Scientific paper

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.

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