Weak factorization and the Grothendieck group of Deligne-Mumford stacks
Algebraic Geometry
2019-07-30 v2
Abstract
We construct a presentation for the Grothendieck group of Deligne-Mumford stacks over a field of characteristic zero. The generators for this presentation are smooth, proper Deligne-Mumford stacks and the relations are expressed in terms of stacky blow-ups. In the process we prove a version of the weak factorization theorem for Deligne-Mumford stacks.
Keywords
Cite
@article{arxiv.1707.06040,
title = {Weak factorization and the Grothendieck group of Deligne-Mumford stacks},
author = {Daniel Bergh},
journal= {arXiv preprint arXiv:1707.06040},
year = {2019}
}
Comments
Final version