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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Weiß, Christian (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Lecture Notes in Mathematics, 2104
Temas:
Algebraic geometry.
Number theory.
Dynamical systems.
Algebraic Geometry.
Number Theory.
Dynamical Systems.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XVI, 166 p. 13 illus., 6 illus. in color. online resource.
ISBN:9783319040752
ISSN:1617-9692 ;

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