Enumerative geometry of hyperelliptic plane curves

Details Enumerative geometry of hyperelliptic plane curves Enumerative geometry of hyperelliptic plane curves

1998-08-18

arxiv.org/abs/math/9808084v1

Mathematics

Algebraic Geometry

Scientific paper

We recursively compute the Gromov-Witten invariants of the Hilbert scheme of
two points in the plane. By studying the space of stable maps and computing
virtual contributions, we use these invariants to enumerate hyperelliptic plane
curves of degree d and genus g passing through 3d+1 general points.

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