TY - BOOK
AU - Weiß, Christian.
ED - SpringerLink (Online service)
TI - Twisted Teichmüller Curves
T2 - Lecture Notes in Mathematics,
SN - 9783319040
AV - QA564-609
U1 - 516.35 23
PY - 2014///
CY - Cham
PB - Springer International Publishing, Imprint: Springer
KW - Mathematics
KW - Geometry, algebraic
KW - Differentiable dynamical systems
KW - Number theory
KW - Algebraic Geometry
KW - Number Theory
KW - Dynamical Systems and Ergodic Theory
N1 - 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
N2 - 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
UR - http://dx.doi.org/10.1007/978-3-319-04075-2
ER -