Points of small height on plane curves

Points of small height on plane curves

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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 c??? such that if P is any point on the curve C whose Weil height is bounded above by c???, then...

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Main Author: Radzimski, Vanessa Elena
Language:English
Published: University of British Columbia 2014
Online Access:http://hdl.handle.net/2429/46341
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-BVAU.2429-463412014-04-16T03:42:39Z Points of small height on plane curves Radzimski, Vanessa Elena 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 c??? such that if P is any point on the curve C whose Weil height is bounded above by c???, then the coordinates of P belong to K. 2014-04-07T21:30:38Z 2014-04-07T21:30:38Z 2014 2014-04-07 2014-05 Electronic Thesis or Dissertation http://hdl.handle.net/2429/46341 eng http://creativecommons.org/licenses/by-nc-nd/2.5/ca/ Attribution-NonCommercial-NoDerivs 2.5 Canada University of British Columbia
collection NDLTD
language English
sources NDLTD
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 c??? such that if P is any point on the curve C whose Weil height is bounded above by c???, then the coordinates of P belong to K.
author Radzimski, Vanessa Elena
spellingShingle Radzimski, Vanessa Elena
Points of small height on plane curves
author_facet Radzimski, Vanessa Elena
author_sort Radzimski, Vanessa Elena
title Points of small height on plane curves
title_short Points of small height on plane curves
title_full Points of small height on plane curves
title_fullStr Points of small height on plane curves
title_full_unstemmed Points of small height on plane curves
title_sort points of small height on plane curves
publisher University of British Columbia
publishDate 2014
url http://hdl.handle.net/2429/46341
work_keys_str_mv AT radzimskivanessaelena pointsofsmallheightonplanecurves
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