{"id":{"repo_id":"maryland","oai_identifier":"oai:drum.lib.umd.edu:1903/4180"},"canonical_url":"https://search.dev.ndltd.org/etd/maryland/oai:drum.lib.umd.edu:1903/4180","repository":{"repo_id":"maryland","name":"University of Maryland","base_url":"https://api.drum.lib.umd.edu/server/oai/request"},"display":{"title":"Linear Forms in Logarithms and Integer Points on Genus-two Curves","abstract":"We 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. 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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."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Linear Forms in Logarithms and Integer Points on Genus-two Curves"]}]}],"canonical_facts":{"dc:contributor.advisor":["Washington, Lawrence C"],"dc:contributor.department":["Mathematics"],"dc:creator":["Vogler, John Richard"],"dc:date.accessioned":["2007-02-01T20:22:58Z"],"dc:date.available":["2007-02-01T20:22:58Z"],"dc:date.issued":["2006-11-27"],"dc:description.abstract":["We 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."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/1903/4180"],"dc:language.iso":["en_US"],"dc:title":["Linear Forms in Logarithms and Integer Points on Genus-two Curves"],"dc:type":["Dissertation"]},"updated_at":"2026-07-24T03:02:20Z"}