Abstract
This paper focuses on Teichmüller curves in the space of two-genus double covers of flat tori, identifying all of them, counting them with respect to their triangular areas, formulating the numbers of their cusps, and characterizing the ones without a simple cusp. Some applications are also discussed.
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Acknowledgements
The first author was supported by National Natural Science Foundation of China (Grant No. 11401167). The second author was supported by National Natural Science Foundation of China (Grant No. 11371035). The third author was supported by National Natural Science Foundation of China (Grant Nos. 11701039 and 11371035) and Research and Innovation Program of Beijing University of Posts and Telecommunications for Youth (Grant No. 2017RC18). The authors thank the referees for carefully reading the original manuscript and giving many helpful comments.
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Huang, Y., Wu, S. & Zhong, Y. Teichmüller curves in the space of two-genus double covers of flat tori. Sci. China Math. 63, 521–538 (2020). https://doi.org/10.1007/s11425-017-9434-6
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DOI: https://doi.org/10.1007/s11425-017-9434-6