The Grothendieck and Picard groups of a complete toric DM stack

Details The Grothendieck and Picard groups of a complete toric DM stack The Grothendieck and Picard groups of a complete toric DM stack

2008-06-02

arxiv.org/abs/0806.0198v3

Glasgow Mathematical Journal (2011), 53: 97-113

Mathematics

Algebraic Geometry

keywords: Graded rings, graded modules, toric DM stacks, Grothendieck group, Picard group. This is the final published version

Scientific paper

10.1017/S001708951000056X

We compute the Grothendieck and Picard groups of a complete smooth toric
Deligne-Mumford stack by using a suitable category of graded modules over a
polynomial ring.

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