Poncelet porisms and beyond : integrable billiards, hyperelliptic jacobians and pencils of quadrics

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 res...

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Detalhes bibliográficos
Auteurs principaux: Dragović, Vladimir, 19..-, Radnović, Milena, 19..- (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado em: Basel : Springer Basel [20..].
Cham : Springer Nature
Edição:1st ed. 2011.
Colecção:Frontiers in Mathematics
Assuntos:
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Nota: Description d'après consultation du 15 avril 2013
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Edition sous un autre format:• Poncelet porisms and beyond, integrable billiards, hyperelliptic Jacobians and pencils of quadrics, Vladimir Dragović, Milena Radnović, Basel, Birkhäuser, 2011, 1 vol. (VII-293 p.), Frontiers in Mathematics, 978-3-03-480014-3
• Poncelet Porisms and Beyond, Texte imprimé, 9783034800167
Descrição
Resumo: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
Descrição do item:Description d'après consultation du 15 avril 2013
Archives Springer e-books (Licence nationale)
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Bibliografia:Bibliogr. Index
ISBN:9783034800150
ISSN:1660-8054
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Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017