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Foliations on modular curves. (English) Zbl 1417.11037

Summary: It is proved, that a foliation on a modular curve given by the vertical trajectories of holomorphic differential corresponding to the Hecke eigenform is either the Strebel foliation or the pseudo-Anosov foliation.

MSC:

11F12 Automorphic forms, one variable
11F11 Holomorphic modular forms of integral weight
57R30 Foliations in differential topology; geometric theory
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References:

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