Detailansicht
Poncelet Porisms and Beyond
eBook - Integrable Billiards, Hyperelliptic Jacobians and Pencils of Quadrics, Frontiers in Mathematics
ISBN/EAN: 9783034800150
Umbreit-Nr.: 1802521
Sprache:
Englisch
Umfang: 294 S., 8.16 MB
Format in cm:
Einband:
Keine Angabe
Erschienen am 02.05.2011
Auflage: 1/2011
E-Book
Format: PDF
DRM: Digitales Wasserzeichen
- Zusatztext
- 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.
- Kurztext
- <p>Here is a comprehensive exposition of the key results and ideas connected to the Poncelet theorem, focusing on the mathematics and including the dynamics of integrable billiards and the algebraic geometry of hyperelliptic Jacobians, among other material.</p>