English

Counting conics on sextic 4-folds

Algebraic Geometry 2020-08-18 v2

Abstract

We study rational curves of degree two on a smooth sextic 4-fold and their counting invariant defined using Donaldson-Thomas theory of Calabi-Yau 4-folds. By comparing it with the corresponding Gromov-Witten invariant, we verify a conjectural relation between them proposed by the author, Maulik and Toda.

Keywords

Cite

@article{arxiv.1805.04696,
  title  = {Counting conics on sextic 4-folds},
  author = {Yalong Cao},
  journal= {arXiv preprint arXiv:1805.04696},
  year   = {2020}
}

Comments

10 pages, typos fixed, to appear in Math. Res. Lett

R2 v1 2026-06-23T01:52:48.847Z