书目名称 | Twisted Teichmüller Curves |
编辑 | Christian Weiß |
视频video | |
概述 | Contains a comprehensive introduction to the theory of Teichmüller curves.Is kept as self-contained as possible.Contains 15 figures and 2 tables |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2014 |
关键词 | 14G35,20H10,11R11,37D40; Fuchsian groups; Hilbert modular surfaces; Real quadratic number fields; Teichm |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-04075-2 |
isbn_softcover | 978-3-319-04074-5 |
isbn_ebook | 978-3-319-04075-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer International Publishing Switzerland 2014 |