## On the Grothendieck groups of toric stacks.(English)Zbl 1394.14003

Summary: In this short note, we give an elementary proof for the fact that the Grothendieck group of complete toric Deligne-Mumford stack is torsion free.

### MSC:

 14A20 Generalizations (algebraic spaces, stacks) 14C35 Applications of methods of algebraic $$K$$-theory in algebraic geometry 14M25 Toric varieties, Newton polyhedra, Okounkov bodies
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### References:

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