The Grothendieck and Picard groups of a complete toric DM stack

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.

keywords: Graded rings, graded modules, toric DM stacks, Grothendieck group, Picard group. This is the final published version

References in corpus (2)

• The orbifold Chow ring of toric Deligne-Mumford stacks
• On the $K$-theory of smooth toric DM stacks

Cited by in corpus (1)

• Classification of affine vortices