Twisted Teichmüller curves

Author(s)

• Weiss, Christian

Bibliographic Information

Twisted Teichmüller curves

Christian Weiß

（Lecture notes in mathematics, 2104）

Springer, c2014

Note

Includes bibliographical references (p. 159-163) and index

Description and Table of Contents

Description

These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmuller 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 Teichmuller 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.

Table of Contents

Introduction.- Background.- Teichmuller Curves.- Twisted Teichmuller Curves.- Stabilizer and Maximality.- Calculations for Twisted Teichmuller Curves.- Prym Varieties and Teichmuller Curves.- Lyapunov Exponents.- Kobayashi Curves Revisited.- Appendix.- Tables.- List of Symbols.- Index.- Bibliography.

by "Nielsen BookData"

• NCID: BB15184065
• ISBN:
  • 9783319040745
• LCCN: 2014931374
• Country Code: sz
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cham
• Pages/Volumes: xvi, 166 p.
• Size: 24 cm
• Classification:
  • DC23 : 516.352
• Subject Headings:
  • LCSH : Teichmüller spaces
  • LCSH : Curves, Algebraic
  • LCSH : Hilbert modular surfaces
• Parent Bibliography ID:
  • BA00146586