On the Grothendieck groups of toric stacks
Algebraic Geometry
2009-04-21 v1 K-Theory and Homology
Abstract
In this note, we prove that the Grothendieck group of a smooth complete toric Deligne-Mumford stack is torsion free. This statement holds when the generic point is stacky. We also construct an example of open toric stack with torsion in K-theory. This is a part of the author's Ph.D thesis.
Cite
@article{arxiv.0904.2824,
title = {On the Grothendieck groups of toric stacks},
author = {Zheng Hua},
journal= {arXiv preprint arXiv:0904.2824},
year = {2009}
}
Comments
6 pages