English

Enumerating curves on rational surfaces: the rational fibration method

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

A new, simple method to approach enumerative questions about rational curves on rational surfaces is described. Applications include a short proof of Kontsevich's formula for plane curves and a the solution of the analogous problem for the Hirzebruch surface F_3.

Keywords

Cite

@article{arxiv.alg-geom/9608023,
  title  = {Enumerating curves on rational surfaces: the rational fibration method},
  author = {Lucia Caporaso and Joe Harris},
  journal= {arXiv preprint arXiv:alg-geom/9608023},
  year   = {2008}
}

Comments

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