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The complement of
Fermat curves in the plane
Seth Dutter, Melissa Haire and Ariel Setniker
Vol. 7 (2014), No. 5, 611–618
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Abstract |
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In this paper we will examine the affine algebraic curves defined on the complement of Fermat curves of degree five or higher in the affine plane. In particular we will bound the height of integral points over an affine curve outside of an exceptional set. |
Keywords
Mason's theorem, function field, Fermat curve
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Mathematical Subject Classification 2010
Primary: 14G25
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Milestones
Received: 31 August 2012
Revised: 20 January 2013
Accepted: 21 January 2013
Published: 1 August 2014
Communicated by Bjorn Poonen
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Authors |
| Seth Dutter | |
| Department of Mathematics,
Statistics and Computer Science University of Wisconsin-Stout Menomonie, WI 54751 United States |
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| Melissa Haire | |
| Department of Mathematics and
Computer Science Gordon College Wenham, MA 01984 United States |
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| Ariel Setniker | |
| Mathematics Department Western Oregon University Monmouth, OR 97361 United States |
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