Twisted Teichmüller Curves

• Κύριος συγγραφέας: Weiß, Christian (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Lecture Notes in Mathematics, 2104
• Θέματα: Mathematics.; Algebraic geometry.; Dynamics.; Ergodic theory.; Number theory.; Algebraic Geometry.; Number Theory.; Dynamical Systems and Ergodic Theory.

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 part...

Πίνακας περιεχομένων:

• 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.