On the Grothendieck groups of toric stacks

Details On the Grothendieck groups of toric stacks On the Grothendieck groups of toric stacks

2009-04-18

arxiv.org/abs/0904.2824v1

Mathematics

Algebraic Geometry

6 pages

Scientific paper

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.

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