Counting plane curves of any genus

Details Counting plane curves of any genus Counting plane curves of any genus

1996-08-22

arxiv.org/abs/alg-geom/9608025v1

Mathematics

Algebraic Geometry

47 pages, Tex type: Plain, figures are not included in the package, for a copy with pictures write to bwatson@abel.harvard.edu

Scientific paper

We obtain a recursive formula answering the following question: How many
irreducible, plane curves of degree d and (geometric) genus g pass through
3d-1+g general points in the plane? The formula is proved by studying suitable
degenerations of plane curves.

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