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Counting elliptic plane curves with fixed $j$-invariant

Author(s): Rahul Pandharipande
Journal: Proc. Amer. Math. Soc. 125 (1997), 3471-3479.
MSC (1991): Primary 14N10, 14H10; Secondary 14E99
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Abstract: The number of degree $d$ elliptic plane curves with fixed $j$-invariant passing through $3d-1$ general points in $% \mathbf{P}^2$ is computed.

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Additional Information:

Rahul Pandharipande
Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
Email: rahul@math.uchicago.edu

DOI: 10.1090/S0002-9939-97-04136-1
PII: S 0002-9939(97)04136-1
Keywords: Gromov-Witten invariants, elliptic curves, enumerative geometry
Received by editor(s): June 19, 1996
Additional Notes: Partially supported by an NSF Post-Doctoral Fellowship
Communicated by: Ron Donagi
Copyright of article: Copyright 1997, American Mathematical Society

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