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Twisted Teichmuller Curves

Language EnglishEnglish
Book Paperback
Book Twisted Teichmuller Curves Christian Weiss
Libristo code: 02300949
Publishers Springer International Publishing AG, February 2014
These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are... Full description
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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.

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About the book

Full name Twisted Teichmuller Curves
Author Christian Weiss
Language English
Binding Book - Paperback
Date of issue 2014
Number of pages 166
EAN 9783319040745
ISBN 331904074X
Libristo code 02300949
Publishers Springer International Publishing AG
Weight 290
Dimensions 157 x 234 x 10

Categories

Mathematics & Science > Mathematics > Geometry > Algebraic geometry
Mathematics & Science > Mathematics > Applied mathematics > Nonlinear science
Mathematics & Science > Mathematics > Number theory
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