A Note On Elliptic Plane Curves With Fixed j-Invariant

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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.
10 pages, AMSLatex

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/150034

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/alg-geom/9505023
 http://arxiv.org/abs/alg-geom/9505023

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arXiv