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Twisted Teichmueller Curves. 2014 ed..
・ISBN 978-3-319-04074-5 paper EUR 34.99
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| 著者・編者 | Weiss, Christian, |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2014 |
| ページ数 | 166 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-24454＞ |
解説
These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmueller 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 Teichmueller 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.