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

作　　者：Yan Huang Shengjian Wu Yumin Zhong 

机构地区：[1]School of Mathematics and Statistics,Henan University,Kaifeng 475004,China [2]School of Mathematical Sciences,Peking University,Beijing 100871,China [3]College of Science,Beijing University of Posts and Telecommunications,Beijing 100876,China

出　　处：《Science China Mathematics》2020年第3期521-538,共18页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 11401167).supported by National Natural Science Foundation of China (Grant No. 11371035).supported by National Natural Science Foundation of China (Grant Nos. 11701039 and 11371035);Research and Innovation Program of Beijing University of Posts and Telecommunications for Youth (Grant No. 2017RC18)

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.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.

关 键 词：Veech surfaces Teichm¨uller curves geodesic triangles simple Jenkins-Strebel directions 

分 类 号：O186.11[理学—数学]