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

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2020,（3）
• 页码范围: 521-538
• 页数: 18页
• 语种: 英文

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.