Counting curves on surfaces: a guide to new techniques and results
arXiv:alg-geom/9611029
Abstract
This is a survey describing recents developments in enumerative geometry of curves on projective varieties. Various methods to arrive at results such as Kontsevich's formula for plane rational curves, or Caporaso-Harris's formula for plane curves of any genus, are illustrated on concrete examples It will appear on the Proceedings of the European Congress of Mathematics, Budapest 1996.
Plain-Tex file, 14 pages