English

Stable pair invariants under blow-ups

Algebraic Geometry 2014-07-24 v1

Abstract

We use degeneration formula to study the change of stable pair invariants of 3-folds under blow-ups and obtain some closed blow-up formulae. Related results on Donaldson-Thomas invariants are also discussed. Our results give positive evidence for GW/DT/P correspondence, and also give partial correspondence for varieties not necessarily toric or complete intersections.

Keywords

Cite

@article{arxiv.1407.6138,
  title  = {Stable pair invariants under blow-ups},
  author = {Hua-Zhong Ke},
  journal= {arXiv preprint arXiv:1407.6138},
  year   = {2014}
}

Comments

19 pages. Comments are welcome!

R2 v1 2026-06-22T05:10:42.456Z