Involve: A Journal of Mathematics

  • Involve
  • Volume 7, Number 5 (2014), 611-618.

The complement of Fermat curves in the plane

Seth Dutter, Melissa Haire, and Ariel Setniker

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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.

Article information

Involve, Volume 7, Number 5 (2014), 611-618.

Received: 31 August 2012
Revised: 20 January 2013
Accepted: 21 January 2013
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14G25: Global ground fields

Mason's theorem function field Fermat curve


Dutter, Seth; Haire, Melissa; Setniker, Ariel. The complement of Fermat curves in the plane. Involve 7 (2014), no. 5, 611--618. doi:10.2140/involve.2014.7.611.

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