English

Nisnevich Descent for Deligne-Mumford Stacks

Algebraic Geometry 2010-05-07 v1

Abstract

We prove the excision theorem for the KK-theory of perfect complexes on Deligne-Mumford stacks. This is then used to study the Nisnevich site of such stacks. We prove the Nisnevich descent for the KK-theory of perfect complexes. We also draw some other consequences.

Keywords

Cite

@article{arxiv.1005.0968,
  title  = {Nisnevich Descent for Deligne-Mumford Stacks},
  author = {Amalendu Krishna and Paul-Arne Ostvaer},
  journal= {arXiv preprint arXiv:1005.0968},
  year   = {2010}
}