Counting plane curves of any genus
Abstract
Description
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 bwatson@abel.harvard.edu
47 pages, Tex type: Plain, figures are not included in the package, for a copy with pictures write to bwatson@abel.harvard.edu