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Twisted Teichmüller curves

Author: Christian Weiss
Publisher: Cham : Springer, 2014. ©2014
Series: Lecture notes in mathematics (Springer-Verlag), 2104.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Christian Weiss
ISBN: 9783319040752 3319040758
OCLC Number: 874847877
Description: 1 online resource (xvi, 166 pages) : illustrations.
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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2104.
Responsibility: Christian Weiß.
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