Twisted Teichmüller Curves [electronic resource] / by Christian Weiß
- Author
- Weiss, Christian
- Published
- Cham : Springer International Publishing : Imprint: Springer, 2014.
- Physical Description
- XVI, 166 pages 13 illustrations, 6 illustrations in color : online resource
- Additional Creators
- SpringerLink (Online service)
Access Online
- Series
- Contents
- Introduction -- Background -- Teichmüller Curves -- Twisted Teichmüller Curves -- Stabilizer and Maximality -- Calculations for Twisted Teichmüller Curves -- Prym Varieties and Teichmüller Curves -- Lyapunov Exponents -- Kobayashi Curves Revisited -- Appendix -- Tables -- List of Symbols -- Index -- Bibliography.
- Summary
- These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmüller curves, because their construction is very reminiscent of Hirzebruch-Zagier cycles. These new objects are analyzed in detail and their main properties are described. In particular, the volume of twisted Teichmüller curves is calculated and their components are partially classified. The study of algebraic curves on Hilbert modular surfaces has been widely covered in the literature due to their arithmetic importance. Among these, twisted diagonals (Hirzebruch-Zagier cycles) are some of the most important examples.
- Subject(s)
- ISBN
- 9783319040752
- Digital File Characteristics
- text file PDF
- Part Of
- Springer eBooks
View MARC record | catkey: 11943658