English

Yau-Zaslow formula on K3 surfaces for non-primitive classes

Symplectic Geometry 2014-11-11 v2 Algebraic Geometry Differential Geometry

Abstract

We compute the genus zero family Gromov-Witten invariants for K3 surfaces using the topological recursion formula and the symplectic sum formula for a degeneration of elliptic K3 surfaces. In particular we verify the Yau-Zaslow formula for non-primitive classes of index two.

Keywords

Cite

@article{arxiv.math/0404537,
  title  = {Yau-Zaslow formula on K3 surfaces for non-primitive classes},
  author = {Junho Lee and Naichung Conan Leung},
  journal= {arXiv preprint arXiv:math/0404537},
  year   = {2014}
}

Comments

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper45.abs.html

R2 v1 2026-07-22T17:04:54.113Z