These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichm???ller 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 Teichm???ller 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 ...
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These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichm???ller 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 Teichm???ller 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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Add this copy of Twisted Teichmüller Curves to cart. $46.96, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2014 by Springer International Publishing AG.
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New. Print on demand Contains: Illustrations, black & white, Illustrations, color. Lecture Notes in Mathematics . XVI, 166 p. 13 illus., 6 illus. in color. Intended for professional and scholarly audience.
