Twisted Teichmüller Curves

Häftad, Engelska, 2014

Del 2104 i serien Lecture Notes in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2014-03-07
Mått:155 x 235 x 11 mm
Vikt:289 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:166
Upplaga:2014
Förlag:Springer International Publishing AG
ISBN:9783319040745

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Recensioner i media

"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 Teichmuller curves and Hilbert modular surfaces." (Dawei Chen, Mathematical Reviews, February, 2016)

Innehållsförteckning

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.