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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...

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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:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.