Teichmüller curves in the space of two-genus double covers of flat tori

被引:0
|
作者
Yan Huang
Shengjian Wu
Yumin Zhong
机构
[1] Henan University,School of Mathematics and Statistics
[2] Peking University,School of Mathematical Sciences
[3] Beijing University of Posts and Telecommunications,College of Science
来源
Science China Mathematics | 2020年 / 63卷
关键词
Veech surfaces; Teichmüller curves; geodesic triangles; simple Jenkins-Strebel directions; 32G15; 37D50;
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学科分类号
摘要
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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页码:521 / 538
页数:17
相关论文
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    Yan Huang
    Shengjian Wu
    Yumin Zhong
    [J]. Science China Mathematics, 2020, 63 (03) : 521 - 538
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    Wu, Shengjian
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