A Note On Elliptic Plane Curves With Fixed j-Invariant
alg-geom
2008-02-03 v1 Algebraic Geometry
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.
Cite
@article{arxiv.alg-geom/9505023,
title = {A Note On Elliptic Plane Curves With Fixed j-Invariant},
author = {R. Pandharipande},
journal= {arXiv preprint arXiv:alg-geom/9505023},
year = {2008}
}
Comments
10 pages, AMSLatex