Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911



Completion of Katz-Qin-Ruan’s enumeration of genus-two plane curves

Author: Aleksey Zinger
Journal: J. Algebraic Geom. 13 (2004), 547-561
Published electronically: December 8, 2003
MathSciNet review: 2047680
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Abstract | References | Additional Information

Abstract: We give a formula for the number of plane curves of degree $d$ and genus $2$ with fixed complex structure passing through $3d\!-\!2$ points in general position. This is achieved by completing the Katz-Qin-Ruan approach. This paper’s formula agrees with the one obtained by the author in a completely different way.

References [Enhancements On Off] (What's this?)

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Additional Information

Aleksey Zinger
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Rm 2-586, Cambridge, Massachusetts 02139
Address at time of publication: Department of Mathematics, Stanford University, Stanford, California 94305-2125

Received by editor(s): February 1, 2002
Published electronically: December 8, 2003
Additional Notes: Partially supported by an NSF Graduate Research Fellowship and NSF grant DMS-9803166