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.
Product Identifiers
Publisher
Springer International Publishing Ag
ISBN-13
9783319040745
eBay Product ID (ePID)
190307696
Product Key Features
Author
Christian Weiss
Publication Name
Twisted Teichmuller Curves
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2014
Type
Textbook
Number of Pages
166 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Volume
2104
Item Weight
2876g
Additional Product Features
Title_Author
Christian Weiss
Series Title
Lecture Notes in Mathematics
Country/Region of Manufacture
Switzerland
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