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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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
MathSciNet review: 1423328
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Abstract | References | Similar articles | Additional information

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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V. Alexeev, Moduli spaces $M_{g,n}(W)$ for Surfaces, preprint 1994.

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E.-M. Ionel, Michigan State University Ph.D. thesis, (1996).

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S. Katz, Z. Qin, and Y. Ruan, Composition law and nodal genus-2 curves in $\mathbf P^2$, preprint 1996.

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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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