Diophantine approximation on rational quadrics

dc.creatorDrutu, Cornelia
dc.date2005-03-25
dc.date2005-04-05
dc.date.accessioned2026-07-07T05:18:31Z
dc.date.available2026-07-07T05:18:31Z
dc.descriptionWe compute the Hausdorff dimension of sets of very well approximable vectors on rational quadrics. We use ubiquitous systems and the geometry of locally symmetric spaces. As a byproduct we obtain the Hausdorff dimension of the set of rays with a fixed maximal singular direction, which move away into one end of a locally symmetric space at linear depth, infinitely many times.
dc.description55 pages, 3 figures, to appear in Math. Annalen, revised version : updated references, minor corrections
dc.identifierhttps://arxiv.org/abs/math/0503606
dc.identifierhttp://arxiv.org/abs/math/0503606
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74683
dc.subjectGroup Theory
dc.subjectNumber Theory
dc.subject11J83, 22E40, 53C35
dc.titleDiophantine approximation on rational quadrics
dc.typetext

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