A Note On Elliptic Plane Curves With Fixed j-Invariant

Details A Note On Elliptic Plane Curves With Fixed j-Invariant A Note On Elliptic Plane Curves With Fixed j-Invariant

1995-05-24

arxiv.org/abs/alg-geom/9505023v1

Mathematics

Algebraic Geometry

10 pages, AMSLatex

Scientific paper

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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