Lecture Notes in Mathematics

Twisted Teichmüller Curves

Authors: Weiß, Christian

  • Contains a comprehensive introduction to the theory of Teichmüller curves
  • Is kept as self-contained as possible
  • Contains 15 figures and 2 tables
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About this book

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.

Reviews

“These notes contain detailed background material and a comprehensive survey of recent advances in the field. They can be used as a handbook for mathematicians who are interested in Teichmüller curves and Hilbert modular surfaces.” (Dawei Chen, Mathematical Reviews, February, 2016)


Table of contents (9 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-04075-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-04074-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Twisted Teichmüller Curves
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2104
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-04075-2
DOI
10.1007/978-3-319-04075-2
Softcover ISBN
978-3-319-04074-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 166
Number of Illustrations and Tables
7 b/w illustrations, 6 illustrations in colour
Topics