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dc.contributor.authorDragović, Vladimiren
dc.contributor.authorRadnović, Milenaen
dc.date.accessioned2020-05-16T17:02:16Z-
dc.date.available2020-05-16T17:02:16Z-
dc.date.issued2010-11-01en
dc.identifier.issn0036-0279en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/2661-
dc.description.abstractBilliards inside quadrics are considered as integrable dynamical systems with a rich geometric structure. The two-way interaction between the dynamics of billiards and the geometry of pencils of quadrics in an arbitrary dimension is considered. Several well-known classical and modern genus-1 results are generalized to arbitrary dimension and genus, such as: the Poncelet theorem, the Darboux theorem, the Weyr theorem, and the Griffiths-Harris space theorem. A synthetic approach to higher-genera addition theorems is presented. © 2010 RAS(DoM) and LMS.en
dc.publisherTurpion-
dc.relation.ispartofRussian Mathematical Surveysen
dc.subjectAddition theorems | Hyperelliptic curve | Jacobian variety | Periodic trajectories | Poncelet porism | Poncelet-Darboux gridsen
dc.titleIntegrable billiards and quadricsen
dc.typeOtheren
dc.identifier.doi10.1070/RM2010v065n02ABEH004673en
dc.identifier.scopus2-s2.0-77958554870en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage319en
dc.relation.lastpage379en
dc.relation.issue2en
dc.relation.volume65en
dc.description.rankM23-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
item.openairetypeOther-
item.grantfulltextnone-
crisitem.author.orcid0000-0002-0295-4743-
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