Twisted Teichmüller curves
著者
書誌事項
Twisted Teichmüller curves
（Lecture notes in mathematics, 2104）
Springer, c2014
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注記
Includes bibliographical references (p. 159-163) and index
内容説明・目次
内容説明
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.
目次
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.
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