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Construction of CM Picard curves
Authors:Kenji Koike  Annegret Weng
Institution:Institut für Algebra und Geometrie, Johann Wolfgang Goethe-Universität Frankfurt, Robert-Mayer-Str. 10, D-60054 Frankfurt am Main, Germany ; Institut für Algebra und Geometrie, Johann Wolfgang Goethe-Universität Frankfurt, Robert-Mayer-Str. 10, D-60054 Frankfurt am Main, Germany
Abstract:In this article we generalize the CM method for elliptic and hyperelliptic curves to Picard curves. We describe the algorithm in detail and discuss the results of our implementation.

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