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Twisted Teichmüller Curves (Lecture Notes in Mathematics)
Christian Weiß
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Description for Twisted Teichmüller Curves (Lecture Notes in Mathematics)
Paperback. Twisted Teichmuller Curves Series: Lecture Notes in Mathematics. Num Pages: 182 pages, 7 black & white illustrations, 6 colour illustrations, 2 black & white tables, biography. BIC Classification: PBH; PBWR. Category: (P) Professional & Vocational. Dimension: 234 x 157 x 10. Weight in Grams: 290.
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.
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.
Product Details
Format
Paperback
Publication date
2014
Publisher
Springer
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
166
Place of Publication
Cham, Switzerland
ISBN
9783319040745
SKU
V9783319040745
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Twisted Teichmüller Curves (Lecture Notes in Mathematics)
“These notes contain detailed background material and a comprehensive survey of recent advances in the field. They can be used as a handbook for mathematicians who are interested in Teichmüller curves and Hilbert modular surfaces.” (Dawei Chen, Mathematical Reviews, February, 2016)