On the Grothendieck groups of toric stacks
classification
🧮 math.AG
math.KT
keywords
toricgrothendieckstacktorsionauthorcompleteconstructdeligne-mumford
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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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