Free Delivery Over $100
|
|
|||
|
||||
OverviewThese 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. Full Product DetailsAuthor: Christian WeißPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 2014 ed. Volume: 2104 Dimensions: Width: 15.50cm , Height: 1.00cm , Length: 23.50cm Weight: 2.876kg ISBN: 9783319040745ISBN 10: 331904074 Pages: 166 Publication Date: 07 March 2014 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- 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.ReviewsThese 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
