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arXiv · alg-geom/9608025

Counting plane curves of any genus

Lucia Caporaso·Joe Harris
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Abstract

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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Lucia Caporaso, Joe Harris. 1996-08-22. Counting plane curves of any genus. https://arxiv.org/abs/alg-geom/9608025

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