English

Good degeneration of Quot-schemes and coherent systems

Algebraic Geometry 2011-10-04 v1

Abstract

We construct good degenerations of Quot-schemes and coherent systems using the stack of expanded degenerations. We show that these good degenerations are separated and proper DM stacks of finite type. Applying to the projective threefolds, we derive degeneration formulas for DT-invariants of ideal sheaves and PT stable pair invariants.

Keywords

Cite

@article{arxiv.1110.0390,
  title  = {Good degeneration of Quot-schemes and coherent systems},
  author = {Jun Li and Baosen Wu},
  journal= {arXiv preprint arXiv:1110.0390},
  year   = {2011}
}