Open Access
Summer 2008 The orbifold cohomology ring of simplicial toric stack bundles
Yunfeng Jiang
Illinois J. Math. 52(2): 493-514 (Summer 2008). DOI: 10.1215/ijm/1248355346


We introduce a new quotient construction of toric Deligne–Mumford stacks. We use this new construction to define toric stack bundles which generalize the construction of toric bundles by Sankaran and Uma [Comment. Math. Helv. 78 (2003) 540–554]. The orbifold Chow ring of such toric stack bundles is computed. We show that the orbifold Chow ring of the toric stack bundle and the Chow ring of its crepant resolution are fibres of a flat family, generalizing a result of Borisov–Chen–Smith.


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Yunfeng Jiang. "The orbifold cohomology ring of simplicial toric stack bundles." Illinois J. Math. 52 (2) 493 - 514, Summer 2008.


Published: Summer 2008
First available in Project Euclid: 23 July 2009

zbMATH: 1231.14002
MathSciNet: MR2524648
Digital Object Identifier: 10.1215/ijm/1248355346

Primary: 14A20 , 14F40

Rights: Copyright © 2008 University of Illinois at Urbana-Champaign

Vol.52 • No. 2 • Summer 2008
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