Poncelet Porisms and Beyond
Integrable Billiards, Hyperelliptic Jacobians and Pencils of Quadrics
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Author
Contributions
- Radnović, Milena - Contributor
- SpringerLink (Online service) - Contributor
Publication
2011 - Springer Basel AG, Basel
Language
English
Word Count
73,250 words, Guess
Page Count
293 pages
Physical Format
[electronic resource] :
Identifiers
- Open LibraryOL25534412M
- ISBN-139783034800143
- OCLC Control Number668190678
- OCLC Control Numberponceletporismsb00drag
- Library of Congress Control Number2011926874
Classifications
- LCCQA484 .D73 2011
Description
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.
Subjects
Topics
Series Statement
- Frontiers in Mathematics
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