TY  - BOOK
AU  - Dragovic,Vladimir
AU  - Radnovic,Milena
ED  - SpringerLink (Online service)
TI  - Poncelet Porisms and Beyond: Integrable Billiards, Hyperelliptic Jacobians and Pencils of Quadrics 
T2  - Frontiers in Mathematics,
SN  - 9783034800150
AV  - QA564-609 
U1  - 516.35 23
PY  - 2011///
CY  - Basel
PB  - Springer Basel
KW  - Mathematics
KW  - Geometry, algebraic
KW  - Algebraic Geometry
N1  - 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
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-0348-0015-0
ER  -