Cyclotomic points on curves

Chris J. Smyth, Frits Beukers · Utrecht University Repository (Utrecht University) · 2001

We show that a plane algebraic curve f = 0over the complex numbers has on it either at most 22V (f) points whose coordinates are both roots of unity, or innitely many such points. Here V (f) is the area of the Newton polytope of f: We present an algorithm for nding all these points.

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