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arXiv · alg-geom/9606014

Composition law and Nodal genus-2 curves in P^2

Sheldon Katz·Zhenbo Qin·Yongbin Ruan
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Abstract

Recently, there has been great interest in the application of composition laws to problems in enumerative geometry. Using the moduli space of stable maps, we compute the number of irreducible, reduced, nodal, degree-$d$ genus-$2$ plane curves whose normalization has a fixed complex structure and which pass through $3d - 2$ general points in $\Bbb P^2$.

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Sheldon Katz, Zhenbo Qin, Yongbin Ruan. 1996-06-20. Composition law and Nodal genus-2 curves in P^2. https://arxiv.org/abs/alg-geom/9606014

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