000 | 02884nam a22004935i 4500 | ||
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001 | 978-3-319-04075-2 | ||
003 | DE-He213 | ||
005 | 20190213151839.0 | ||
007 | cr nn 008mamaa | ||
008 | 140221s2014 gw | s |||| 0|eng d | ||
020 |
_a9783319040752 _9978-3-319-04075-2 |
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024 | 7 |
_a10.1007/978-3-319-04075-2 _2doi |
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050 | 4 | _aQA564-609 | |
072 | 7 |
_aPBMW _2bicssc |
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072 | 7 |
_aMAT012010 _2bisacsh |
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072 | 7 |
_aPBMW _2thema |
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082 | 0 | 4 |
_a516.35 _223 |
100 | 1 |
_aWeiß, Christian. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aTwisted Teichmüller Curves _h[electronic resource] / _cby Christian Weiß. |
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014. |
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300 |
_aXVI, 166 p. 13 illus., 6 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2104 |
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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 | _aGeometry, algebraic. | |
650 | 0 | _aNumber theory. | |
650 | 0 | _aDifferentiable dynamical systems. | |
650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
650 | 2 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319040745 |
776 | 0 | 8 |
_iPrinted edition: _z9783319040769 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2104 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-04075-2 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c12087 _d12087 |