000 02605nam a22004935i 4500
001 978-3-319-04075-2
003 DE-He213
005 20150803155057.0
007 cr nn 008mamaa
008 140221s2014 gw | s |||| 0|eng d
020 _a9783319040752
_9978-3-319-04075-2
024 7 _a10.1007/978-3-319-04075-2
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
082 0 4 _a516.35
_223
100 1 _aWeiß, Christian.
_eauthor.
245 1 0 _aTwisted Teichmüller Curves
_h[electronic resource] /
_cby Christian Weiß.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXVI, 166 p. 13 illus., 6 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2104
505 0 _aIntroduction -- 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 _aThese 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 _aMathematics.
650 0 _aGeometry, algebraic.
650 0 _aDifferentiable dynamical systems.
650 0 _aNumber theory.
650 1 4 _aMathematics.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aNumber Theory.
650 2 4 _aDynamical Systems and Ergodic Theory.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319040745
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2104
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-04075-2
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c6960
_d6960