摘要翻译:
我们给出了从一个方案到一个toric Deligne-Mumford栈的态射所需的数据的一个新的描述。描述是用满足一定条件的线束和截面的集合来给出的。作为应用,我们将任意一个toric Deligne-Mumford叠刻画为刚性叠上线丛根的乘积,用齐次多项式描述了toric Deligne-Mumford叠的环面作用,用完全粗模空间描述了toric Deligne-Mumford叠之间的态射,并比较了toric叠的两种不同定义。
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英文标题:
《A note on toric Deligne-Mumford stacks》
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作者:
Fabio Perroni
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最新提交年份:
2008
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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:
We give a new description of the data needed to specify a morphism from a scheme to a toric Deligne-Mumford stack. The description is given in terms of a collection of line bundles and sections which satisfy certain conditions. As applications, we characterize any toric Deligne-Mumford stack as a product of roots of line bundles over the rigidified stack, describe the torus action, describe morphisms between toric Deligne-Mumford stacks with complete coarse moduli spaces in terms of homogeneous polynomials, and compare two different definitions of toric stacks.
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PDF链接:
https://arxiv.org/pdf/0705.3823