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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
Creator
Radzimski, Vanessa Elena
Publisher
University of British Columbia
Date Issued
2014
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.
Genre
Thesis/Dissertation
Type
Text
Language
eng
Date Available
2014-04-07
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI
10.14288/1.0103396
URI
http://hdl.handle.net/2429/46341
Degree
Master of Science - MSc
Program
Mathematics
Affiliation
Science, Faculty of; Mathematics, Department of
Degree Grantor
University of British Columbia
Graduation Date
2014-05
Campus
UBCV
Scholarly Level
Graduate
Rights URI
http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
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Attribution-NonCommercial-NoDerivs 2.5 Canada