The Orbifold Cohomology Ring of Simplicial Toric Stack Bundles

Details The Orbifold Cohomology Ring of Simplicial Toric Stack Bundles The Orbifold Cohomology Ring of Simplicial Toric Stack Bundles

2005-04-28

arxiv.org/abs/math/0504563v3

Mathematics

Algebraic Geometry

21 pages, some Sections are revised

Scientific paper

We introduce extended toric Deligne-Mumford stacks. We use an extended toric
Deligne-Mumford stack to get the toric stack bundle and compute its orbifold
Chow ring. Finally we generalize one result of Borisov, Chen and Smith so that
the orbifold Chow ring of the toric stack bundle and the Chow ring of its
crepant resolution are fibres of a flat family.

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