0806.0198Jun 2, 2008keywords: Graded rings, graded modules, toric DM stacks, Grothendieck group, Picard group. This is the final published version
The Grothendieck and Picard groups of a complete toric DM stack
S. Paul Smith
Abstract
We compute the Grothendieck and Picard groups of a complete smooth toric Deligne-Mumford stack by using a suitable category of graded modules over a polynomial ring.