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Heteroclinic cycles emanating from local bifurcations
Authors:Wei Wu  Yongkui Zou  Mingyou Huang
Institution:1. Institut für Mathematik, Universit?t Augsburg, 86135, Augsburg, Germany
Abstract:LetK be a quadratic imaginary number field. Letf denote a rational integer which is coprime to 6. We letK (f 2) (resp.K(f)) denote the ray class field ofK of conductorf 2 (resp.f). We write Γ for the Galois group ofK(f 2)/K(f) and denote the unique maximal order ofK(f)Γ by 
$$\mathfrak{M}$$
. We show that the Kummer order MediaObjects/229_2007_BF02567708_f1.jpg is a free, rank one 
$$\mathfrak{M}$$
-module. An explicit generator is given by singular values of certain modular functions.
Keywords:heteroclinic cycles  local bifurcation            Z          2-symmetry  two-dimensional null space
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