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Points of small height on plane curves Radzimski, Vanessa Elena
Abstract
Let K be an algebraically closed field, and let C be an irreducible plane curve, defined over the algebraic closure of K(t), which is not defined over K. We show that there exists a positive real number c₀ such that if P is any point on the curve C whose Weil height is bounded above by c₀, then the coordinates of P belong to K.
Item Metadata
Title |
Points of small height on plane curves
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2014
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Description |
Let K be an algebraically closed field, and let C be an irreducible plane curve, defined over the algebraic closure of K(t), which is not defined over K. We show that there exists a positive real number c₀ such that if P is any point on the curve C whose Weil height is bounded above by c₀, then the coordinates of P belong to K.
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Genre | |
Type | |
Language |
eng
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Date Available |
2014-04-07
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivs 2.5 Canada
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DOI |
10.14288/1.0103396
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URI | |
Degree (Theses) | |
Program (Theses) | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2014-05
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Campus | |
Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada