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A Note On Elliptic Plane Curves With Fixed j-Invariant

R. Pandharipande
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Abstract

Let N_d 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 \choose 2}*N_d.

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BibTeXRIS

R. Pandharipande. 1995-05-24. A Note On Elliptic Plane Curves With Fixed j-Invariant. https://arxiv.org/abs/alg-geom/9505023

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