Journal für die reine und angewandte Mathematik (Crelles Journal) · 1998 · 69 citations · 0 references
Natural SciencesMathematicsComputational GeometryGeometryNumber TheoryAffine GeometryAlgebraic GeometryArithmetic GeometryElliptic CurvesInvariant TheoryModular FormsAffine Plane GeometryComplex MultiplicationModular CurvesModuli Spaces Of Curves
Abstract Let S be an irreducible algebraic curve in the affine complex plane. Assume that S is neither a horizontal Une, nor a vertical line, nor a modular curve Y 0 ( N ) (for any integer N ≧ 1). Then there are only finitely many points P of S such that both coordinates of P are singular moduli (i.e. invariants of elliptic curves with complex multiplication).