02605nam a22004935i 4500
978-3-319-04075-2
DE-He213
20150803155057.0
cr nn 008mamaa
140221s2014 gw | s |||| 0|eng d
9783319040752
978-3-319-04075-2
10.1007/978-3-319-04075-2
doi
QA564-609
PBMW
bicssc
MAT012010
bisacsh
516.35
23
Weiß, Christian.
author.
Twisted Teichmüller Curves
[electronic resource] /
by Christian Weiß.
Cham :
Springer International Publishing :
Imprint: Springer,
2014.
XVI, 166 p. 13 illus., 6 illus. in color.
online resource.
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
text file
PDF
rda
Lecture Notes in Mathematics,
0075-8434 ;
2104
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.
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.
Mathematics.
Geometry, algebraic.
Differentiable dynamical systems.
Number theory.
Mathematics.
Algebraic Geometry.
Number Theory.
Dynamical Systems and Ergodic Theory.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783319040745
Lecture Notes in Mathematics,
0075-8434 ;
2104
http://dx.doi.org/10.1007/978-3-319-04075-2
ZDB-2-SMA
ZDB-2-LNM
Mathematics and Statistics (Springer-11649)
6960
6960
0
0
0
0
18523
MAIN
MAIN
2015-08-03
516.35
2015-08-03
2015-08-03
EBK