Completion of Katz-Qin-Ruan's Enumeration of Genus-Two Plane Curves

Details Completion of Katz-Qin-Ruan's Enumeration of Genus-Two Plane Curves Completion of Katz-Qin-Ruan's Enumeration of Genus-Two Plane Curves

2002-01-22

arxiv.org/abs/math/0201216v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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

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