Counting plane curves of any genus

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.

47 pages, Tex type: Plain, figures are not included in the package, for a copy with pictures write to [email protected]

References in corpus (1)

• Parameter spaces for curves on surfaces and enumeration of rational curves

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