Planar Algebraic Curve over Rational Numbers may have Finite Number of Points

Theorem

Let $\CC$ be an algebraic curve over the field of rational numbers.

Then it may be the case that $\CC$ consists of a finite number of points.

Proof

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Sources

• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): algebraic curve