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
Translated by:
Journal: J. Algebraic Geom. 13 (2004), 547-561
DOI: https://doi.org/10.1090/S1056-3911-03-00353-9
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.


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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
Email: azinger@math.mit.edu, azinger@math.stanford.edu

DOI: https://doi.org/10.1090/S1056-3911-03-00353-9
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

American Mathematical Society