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Catalogue Information
Field name	Details
Dewey Class	516.352
Title	Twisted Teichmüller Curves ([Ebook]) / by Christian Weiß.
Author	Weiß, Christian
Other name(s)	SpringerLink (Online service)
Publication	Cham Springer International Publishing 2014.
Physical Details	XVI, 166 pages: 13 illus., 6 illus. in color. : online resource.
Series	Lecture Notes in Mathematics ; 2104
ISBN	9783319040752
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-04075-2
Links to Related Works	Subject References: Algebraic Geometry . Differentiable dynamical systems . Dynamical systems and ergodic theory . Geometry, Algebraic . Number Theory . Teichmüller spaces . Authors: Weiß, Christian . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 516.352 . 516.352 (DDC 23) .

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Twisted Teichmüller Curves

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