These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmuller 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 Teichmuller 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.
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भाषा अंग्रेज़ी ● स्वरूप PDF ● ISBN 9783319040752 ● प्रकाशक Springer International Publishing ● प्रकाशित 2014 ● डाउनलोड करने योग्य 3 बार ● मुद्रा EUR ● आईडी 6302656 ● कॉपी सुरक्षा Adobe DRM
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