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A Fermat curve is a type of algebraic curve defined by the equation: \[ x^n + y^n = z^n \] for a positive integer \(n \). The most well-known case of Fermat curves is when \( n = 2 \), which gives the equation of a circle: \[ x^2 + y^2 = z^2.

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  1. Algebraic curves
  2. Algebraic geometry
  3. Fields of mathematics
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