Poncelet Porisms and Beyond Integrable Billiards, Hyperelliptic Jacobians and Pencils of Quadrics /

• Main Authors: Dragović, Vladimir (Author), Radnović, Milena (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel, 2011.
• Series: Frontiers in Mathematics,
• Subjects: Mathematics.; Algebraic geometry.; Algebraic Geometry.

The goal of the book is to present, in a complete and comprehensive way, areas of current research interlacing around the Poncelet porism: dynamics of integrable billiards, algebraic geometry of hyperelliptic Jacobians, and classical projective geometry of pencils of quadrics. The most important res...

Table of Contents:

• Introduction to Poncelet Porisms
• Billiards – First Examples
• Hyper-Elliptic Curves and Their Jacobians
• Projective geometry
• Poncelet Theorem and Cayley’s Condition
• Poncelet–Darboux Curves and Siebeck–Marden Theorem
• Ellipsoidal Billiards and their Periodical Trajectories
• Billiard Law and Hyper-Elliptic Curves
• Poncelet Theorem and Continued Fractions
• Quantum Yang-Baxter equation and (2-2)-correspondences
• Bibliography
• Index.