摘要翻译:
本文研究了toric Deligne-Mumford叠的积分周环。我们证明了半射影多环Deligne-Mumford叠加的积分Chow环与相关stacky扇的Stanley-Reisner环同构。计算了积分轨道周环。我们的结果用几个例子加以说明。
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英文标题:
《The Integral (orbifold) Chow Ring of Toric Deligne-Mumford Stacks》
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作者:
Yunfeng Jiang and Hsian-Hua Tseng
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
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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PDF链接:
https://arxiv.org/pdf/0707.2972