Click Here to Download: https://ouo.io/gJTyoo Twisted Teichmüller Curves By: Christian Weiß Publisher: Springer Print ISBN: 9783319040745, 331904074X eText ISBN: 9783319040752, 3319040758 Copyright year: 2014 Format: EPUB Available from $ 49.99 USD SKU 9783319040752 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.
