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Abstract

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.

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Acknowledgments

I am grateful to Lawrence D. Taylor (University of Nottingham) for useful correspondence and to a referee for helpful comments.

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Correspondence to Igor V. Nikolaev.

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Nikolaev, I.V. Foliations on Modular Curves. Bull Braz Math Soc, New Series 48, 85–92 (2017). https://doi.org/10.1007/s00574-016-0006-8

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  • DOI: https://doi.org/10.1007/s00574-016-0006-8

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