A Note On Elliptic Plane Curves With Fixed j-Invariant
R. Pandharipande
Abstract
Let Nd be the number of degree d, nodal, rational plane curves through 3d-1 points in the complex projective plane. The number of degree d>=3, nodal, elliptic plane curves with a fixed (general) j-invariant through 3d-1 points is found to be d-1 2*Nd.
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