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Linear Forms in Logarithms and Integer Points on Genus-two Curves

dc.contributor.advisorWashington, Lawrence Cen_US
dc.contributor.authorVogler, John Richarden_US
dc.date.accessioned2007-02-01T20:22:58Z
dc.date.available2007-02-01T20:22:58Z
dc.date.issued2006-11-27en_US
dc.identifier.urihttp://hdl.handle.net/1903/4180
dc.description.abstractWe consider a linear form with algebraic coefficients, evaluated at points on the analytic Jacobian of a genus-two curve whose projective coordinates are algebraic. Previous results on the existence of a lower bound of a particular shape are made explicit. We study various properties of Jacobians of genus-two curves, paying particular attention to their embeddings into projective space, and give a method which can be used to find provably all integer points on a genus-two curve. We apply this method to one particular curve by way of example.en_US
dc.format.extent546246 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.titleLinear Forms in Logarithms and Integer Points on Genus-two Curvesen_US
dc.typeDissertationen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.contributor.departmentMathematicsen_US
dc.subject.pqcontrolledMathematicsen_US
dc.subject.pquncontrollednumber theoryen_US
dc.subject.pquncontrolledtranscendental number theoryen_US
dc.subject.pquncontrolleddiophantine approximationen_US
dc.subject.pquncontrolleddiophantine equationen_US
dc.subject.pquncontrolledjacobianen_US
dc.subject.pquncontrolledlogarithmic formen_US


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