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 and genus with fixed complex structure passing through 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