|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910300142903321 |
|
|
Autore |
Weiß Christian |
|
|
Titolo |
Twisted Teichmüller Curves / / by Christian Weiß |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2014.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (XVI, 166 p. 13 illus., 6 illus. in color.) |
|
|
|
|
|
|
Collana |
|
Lecture Notes in Mathematics, , 0075-8434 ; ; 2104 |
|
|
|
|
|
|
Classificazione |
|
MAT 145f |
MAT 325f |
SI 850 |
14G3520H1011R1137D40 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Algebraic geometry |
Number theory |
Dynamics |
Ergodic theory |
Algebraic Geometry |
Number Theory |
Dynamical Systems and Ergodic Theory |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Expanded version of the author's thesis (doctoral)--Universität Frankfurt am Main. |
|
|
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (pages 159-163) and index. |
|
|
|
|
|
|
Nota di contenuto |
|
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. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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 |
|
|
|
|