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arxiv: math/0201216 · v1 · submitted 2002-01-22 · 🧮 math.AG

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

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keywords curvesformulagenus-twokatz-qin-ruanplaneachievedagreesapproach
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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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