Linear Forms in Logarithms and Integer Points on Genus-two Curves
| dc.contributor.advisor | Washington, Lawrence C | en_US |
| dc.contributor.author | Vogler, John Richard | en_US |
| dc.contributor.department | Mathematics | en_US |
| dc.contributor.publisher | Digital Repository at the University of Maryland | en_US |
| dc.contributor.publisher | University of Maryland (College Park, Md.) | en_US |
| dc.date.accessioned | 2007-02-01T20:22:58Z | |
| dc.date.available | 2007-02-01T20:22:58Z | |
| dc.date.issued | 2006-11-27 | en_US |
| 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. | en_US |
| dc.format.extent | 546246 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/4180 | |
| dc.language.iso | en_US | |
| dc.subject.pqcontrolled | Mathematics | en_US |
| dc.subject.pquncontrolled | number theory | en_US |
| dc.subject.pquncontrolled | transcendental number theory | en_US |
| dc.subject.pquncontrolled | diophantine approximation | en_US |
| dc.subject.pquncontrolled | diophantine equation | en_US |
| dc.subject.pquncontrolled | jacobian | en_US |
| dc.subject.pquncontrolled | logarithmic form | en_US |
| dc.title | Linear Forms in Logarithms and Integer Points on Genus-two Curves | en_US |
| dc.type | Dissertation | en_US |
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