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

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

1996-06-20

arxiv.org/abs/alg-geom/9606014v1

Mathematics

Algebraic Geometry

13 pages, AMS-TeX

Scientific paper

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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