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Opis

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.

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Applied mathematics

• Pełny tytuł: Twisted Teichmuller Curves
• Autor: Christian Weiss
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 166
• EAN: 9783319040745
• ISBN: 331904074X
• ID: 02300949
• Wydawca: Springer International Publishing AG
• Waga: 290 g
• Wymiary: 234 × 157 × 10 mm
• Data wydania: 23. February 2014

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