Poncelet Porisms and Beyond Integrable Billiards Hyperelliptic Jacobians and Pencils of Quadrics 1st Edition by Vladimir Dragovic, Milena Radnovic ISBN 3034800142 9783034800143

Poncelet Porisms and Beyond Integrable Billiards Hyperelliptic Jacobians and Pencils of Quadrics 1st Edition by Vladimir Dragović, Milena Radnović – Ebook PDF Instant Download/Delivery: 3034800142, 9783034800143

Full download Poncelet Porisms and Beyond Integrable Billiards Hyperelliptic Jacobians and Pencils of Quadrics 1st Edition after payment

Product details:

ISBN 10: 3034800142

ISBN 13: 9783034800143 

Author: Vladimir Dragović, Milena Radnović

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 results and ideas, classical as well as modern, connected to the Poncelet theorem are presented, together with a historical overview analyzing the classical ideas and their natural generalizations. Special attention is paid to the realization of the Griffiths and Harris programme about Poncelet-type problems and addition theorems. This programme, formulated three decades ago, is aimed to understanding the higher-dimensional analogues of Poncelet problems and the realization of the synthetic approach of higher genus addition theorems.

Table of contents:

1. Introduction to Poncelet Porisms

2. Billiards – First Examples

3. Hyperelliptic Curves and Their Jacobians

4. Projective Geometry

5. Poncelet Theorem and Cayley’s Condition

6. Poncelet–Darboux Curves and Siebeck–Marden Theorem

7. Ellipsoidal Billiards and Their Periodical Trajectories

8. Billiard Law and Hyperelliptic Curves

9. Poncelet Theorem and Continued Fractions

10. Quantum Yang–Baxter Equation and (2-2)-correspondences

People also search for:

    
poncelet’s porism
    
poncelet’s theorem
    
poncelet’s theorem
    
integrable implies bounded
    
poncelet projective geometry

Tags: Vladimir Dragovic, Milena Radnovic, Poncelet, Porisms, Integrable, Billiards, Hyperelliptic, Jacobians, Pencils, Quadrics