Heteroclinic cycles emanating from local bifurcations |
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Authors: | Wei Wu Yongkui Zou Mingyou Huang |
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Institution: | 1. Institut für Mathematik, Universit?t Augsburg, 86135, Augsburg, Germany
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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
. We show that the Kummer order
is a free, rank one
-module. An explicit generator is given by singular values of certain modular functions. |
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Keywords: | heteroclinic cycles local bifurcation Z 2-symmetry two-dimensional null space |
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