Poncelet Porisms and Beyond Poncelet Porisms and Beyond
Frontiers in Mathematics

Poncelet Porisms and Beyond

Integrable Billiards, Hyperelliptic Jacobians and Pencils of Quadrics

    • 49,99 €
    • 49,99 €

Publisher 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.

GENRE
Science & Nature
RELEASED
2011
2 May
LANGUAGE
EN
English
LENGTH
302
Pages
PUBLISHER
Springer Basel
SIZE
4.3
MB

Other Books in This Series

Hadamard Products of Projective Varieties Hadamard Products of Projective Varieties
2024
Functions of Omega-Bounded Type Functions of Omega-Bounded Type
2024
Theory of Np Spaces Theory of Np Spaces
2023
Geometry of Holomorphic Mappings Geometry of Holomorphic Mappings
2023
Monogenic Functions in Spaces with Commutative Multiplication and Applications Monogenic Functions in Spaces with Commutative Multiplication and Applications
2023
Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube
2023