Twisted Teichmüller Curves

Nonfiction, Science & Nature, Mathematics, Number Theory, Geometry
Cover of the book Twisted Teichmüller Curves by Christian Weiß, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Christian Weiß ISBN: 9783319040752
Publisher: Springer International Publishing Publication: February 21, 2014
Imprint: Springer Language: English
Author: Christian Weiß
ISBN: 9783319040752
Publisher: Springer International Publishing
Publication: February 21, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Experimental and Applied Mechanics, Volume 6 by Christian Weiß
Cover of the book Applied Computing and Information Technology by Christian Weiß
Cover of the book Multimodal Location Estimation of Videos and Images by Christian Weiß
Cover of the book Evaluation of Groundwater Resources on the Coral Islands of Lakshadweep, India by Christian Weiß
Cover of the book A Mathematical Perspective on Flight Dynamics and Control by Christian Weiß
Cover of the book Banach Spaces of Continuous Functions as Dual Spaces by Christian Weiß
Cover of the book Movie Analytics by Christian Weiß
Cover of the book Intelligent Information and Database Systems by Christian Weiß
Cover of the book Textbook of Pulmonary Rehabilitation by Christian Weiß
Cover of the book Computers Helping People with Special Needs by Christian Weiß
Cover of the book Industrial Applications of Poly(lactic acid) by Christian Weiß
Cover of the book Strong and Weak Approximation of Semilinear Stochastic Evolution Equations by Christian Weiß
Cover of the book Generalized Continua as Models for Classical and Advanced Materials by Christian Weiß
Cover of the book Digital Urban Acupuncture by Christian Weiß
Cover of the book Topologies as Techniques for a Post-Critical Rhetoric by Christian Weiß
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy