The Integral (orbifold) Chow Ring of Toric Deligne-Mumford Stacks

Yunfeng Jiang; Hsian-Hua Tseng

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arXiv · 0707.2972

The Integral (orbifold) Chow Ring of Toric Deligne-Mumford Stacks

Yunfeng Jiang·Hsian-Hua Tseng

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Abstract

In this paper we study the integral Chow ring of toric Deligne-Mumford stacks. We prove that the integral Chow ring of a semi-projective toric Deligne-Mumford stack is isomorphic to the Stanley-Reisner ring of the associated stacky fan. The integral orbifold Chow ring is also computed. Our results are illustrated with several examples.

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BibTeX RIS

Yunfeng Jiang, Hsian-Hua Tseng. 2007-07-19. The Integral (orbifold) Chow Ring of Toric Deligne-Mumford Stacks. https://arxiv.org/abs/0707.2972

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