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.


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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