UID:
almahu_9947363761302882
Format:
XVI, 166 p. 13 illus., 6 illus. in color.
,
online resource.
ISBN:
9783319040752
Series Statement:
Lecture Notes in Mathematics, 2104
Content:
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.
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783319040745
Language:
English
Subjects:
Mathematics
Keywords:
Hochschulschrift
;
Hochschulschrift
DOI:
10.1007/978-3-319-04075-2
URL:
http://dx.doi.org/10.1007/978-3-319-04075-2
URL:
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