Note on orbifold Chow ring of semi-projective toric Deligne-Mumford stacks

Details Note on orbifold Chow ring of semi-projective toric Deligne-Mumford stacks Note on orbifold Chow ring of semi-projective toric Deligne-Mumford stacks

2006-06-13

arxiv.org/abs/math/0606322v3

Communications in Analysis and Geometry, Volume 16 (2008), Number 1, 231--250

Mathematics

Algebraic Geometry

The proof of a proposition is revised

Scientific paper

We prove a formula for the orbifold Chow ring of semi-projective toric DM stacks, generalizing the orbifold Chow ring formula of projective toric DM stacks by Borisov-Chen-Smith. We also consider a special kind of semi-projective toric DM stacks, the Lawrence toric DM stacks. We prove that the orbifold Chow ring of a Lawrence toric DM stack is isomorphic to the orbifold Chow ring of its associated hypertoric DM stack studied in \cite{JT}.

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