Twisted Teichmüller Curves [electronic resource] / by Christian Weiß.

By:

Weiß, Christian [author.]

Contributor(s):

SpringerLink (Online service)

Series: Lecture Notes in Mathematics ; 2104Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: XVI, 166 p. 13 illus., 6 illus. in color. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783319040752

Subject(s):

Additional physical formats: Printed edition:: No titleDDC classification:

516.35 23

LOC classification:

QA564-609

Online resources:

Click here to access online

Contents:

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.

In: Springer eBooksSummary: 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.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode
E-Books	Central Library, IISER Bhopal	516.35 (Browse shelf(Opens below))	Not for loan

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.

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