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arXiv · 0904.2824

On the Grothendieck groups of toric stacks

Zheng Hua
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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.

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Zheng Hua. 2009-04-18. On the Grothendieck groups of toric stacks. https://arxiv.org/abs/0904.2824

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