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＜電子ブック＞
Twisted Teichmüller Curves / by Christian Weiß
(Lecture Notes in Mathematics. ISSN:16179692 ; 2104)

版	1st ed. 2014.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2014
大きさ	XVI, 166 p. 13 illus., 6 illus. in color : online resource
著者標目	*Weiß, Christian author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Number theory LCSH:Dynamical systems FREE:Algebraic Geometry FREE:Number Theory FREE:Dynamical Systems
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-04075-2

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