On the Grothendieck groups of toric stacks
نویسنده
چکیده
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. A similar result has been proved by Goldin, Harada, Holm, Kimura and Knutson in [GHHKK] using symplectic methods.
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