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Twisted Teichmüller Curves
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 par...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Colección: | Lecture Notes in Mathematics,
2104 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-04075-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220113140623.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 140221s2014 sz | s |||| 0|eng d | ||
| 020 | |a 9783319040752 |9 978-3-319-04075-2 | ||
| 024 | 7 | |a 10.1007/978-3-319-04075-2 |2 doi | |
| 050 | 4 | |a QA564-609 | |
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| 072 | 7 | |a MAT012010 |2 bisacsh | |
| 072 | 7 | |a PBMW |2 thema | |
| 082 | 0 | 4 | |a 516.35 |2 23 |
| 100 | 1 | |a Weiß, Christian. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Twisted Teichmüller Curves |h [electronic resource] / |c by Christian Weiß. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2014. | |
| 300 | |a XVI, 166 p. 13 illus., 6 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2104 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 1 | 4 | |a Algebraic Geometry. |
| 650 | 2 | 4 | |a Number Theory. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319040745 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319040769 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2104 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-04075-2 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||