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

被引：0
|
作者：
Yan Huang [1 ]
Shengjian Wu [2 ]
Yumin Zhong [3 ]
机构：
[1] School of Mathematics and Statistics, Henan University
[2] College of Science, Beijing University of Posts and Telecommunications
[3] School of Mathematical Sciences, Peking University
来源：
Science China Mathematics | 2020年 / 63卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Veech surfaces; Teichm¨uller curves; geodesic triangles; simple Jenkins-Strebel directions;
D O I：
暂无
中图分类号：
O186.11 [古典微分几何];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：521 / 538
页数：18
相关论文
共 28 条
  • [1] Teichmüller curves in the space of two-genus double covers of flat tori
    Yan Huang
    Shengjian Wu
    Yumin Zhong
    [J]. Science China Mathematics, 2020, 63 : 521 - 538
  • [2] Teichmuller curves in the space of two-genus double covers of flat tori
    Huang, Yan
    Wu, Shengjian
    Zhong, Yumin
    [J]. SCIENCE CHINA-MATHEMATICS, 2020, 63 (03) : 521 - 538
  • [3] Teichmüller curves in genus two: Discriminant and spin
    Curtis T. McMullen
    [J]. Mathematische Annalen, 2005, 333 : 87 - 130
  • [4] Teichmüller curves in genus two: Torsion divisors and ratios of sines
    Curtis T. McMullen
    [J]. Inventiones mathematicae, 2006, 165 : 651 - 672
  • [5] Covers of Tori: Genus Two
    Robert D. M. Accola
    Emma Previato
    [J]. Letters in Mathematical Physics, 2006, 76 : 135 - 161
  • [6] Covers of tori: Genus two
    Accola, Robert D. M.
    Previato, Emma
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 2006, 76 (2-3) : 135 - 161
  • [7] THE WEIERSTRASS SEMIGROUPS ON DOUBLE COVERS OF GENUS TWO CURVES
    Harui, Takeshi
    Komeda, Jiryo
    Ohbuchi, Akira
    [J]. TSUKUBA JOURNAL OF MATHEMATICS, 2015, 38 (02) : 201 - 206
  • [8] ON HAUSDORFF DIMENSION OF THE SET OF NON-ERGODIC DIRECTIONS OF TWO-GENUS DOUBLE COVER OF TORI
    Huang, Yan
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (05) : 2395 - 2409
  • [9] THE MODULI SPACE OF ETALE DOUBLE COVERS OF GENUS 5 CURVES IS UNIRATIONAL
    Izadi, Elham
    Lo Giudice, Marco
    Sankaran, Gregory Kumar
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 2009, 239 (01) : 39 - 52
  • [10] The p-Weil–Petersson Teichmüller Space and the Quasiconformal Extension of Curves
    Huaying Wei
    Katsuhiko Matsuzaki
    [J]. The Journal of Geometric Analysis, 2022, 32
123