Twisted Teichmüller Curves

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
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:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Twisted Teichmüller Curves  |h [electronic resource] /  |c by Christian Weiß. 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2104 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Algebraic geometry. 
650 0 |a Dynamics. 
650 0 |a Ergodic theory. 
650 0 |a Number theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Algebraic Geometry. 
650 2 4 |a Number Theory. 
650 2 4 |a Dynamical Systems and Ergodic Theory. 
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776 0 8 |i Printed edition:  |z 9783319040745 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2104 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-04075-2  |z Full Text via HEAL-Link 
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