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,...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.展开更多
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)
文摘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.
