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Twisted Teichmueller Curves

Twisted Teichmueller Curves

by Christian Weiss
Paperback
Publication Date: 07/03/2014

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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.
ISBN:
9783319040745
9783319040745
Category:
Number theory
Format:
Paperback
Publication Date:
07-03-2014
Language:
English
Publisher:
Springer International Publishing AG
Country of origin:
Switzerland
Pages:
166
Dimensions (mm):
235x155x10mm
Weight:
2.88kg

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