Counting curves on surfaces: a guide to new techniques and results

1996/11/25 by Lucia Caporaso, Caporaso, Lucia
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.alg-geom/9611029

openalex publication_date 1996/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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