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arXiv math/0511514math.AGmath.AC
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Artin环函子的商

Quotients of functors of Artin rings

Tim Dokchitser

摘要:

在无穷小变形理论中,施莱辛格的经典准则给出了可前表示的函子的内在特征,更一般地说,是具有壳的函子的内在特征。我们的结果是,在这种设置的问题的特征群的一致性也可以回答。换句话说,对于具有壳的Artin环的函子,那些通过常数群作用是前可表示的函子的函子可以被内在地描述。

英文摘要:

In infinitesimal deformation theory, a classical criterion due to Schlessinger gives an intrinsic characterisation of functors that are pro-representable, and more generally, of the ones that have a hull. Our result is that in this setting the question of characterising group quotients can also be answered. In other words, for functors of Artin rings that have a hull, those that are quotients of pro-representable ones by a constant group action can be described intrinsically.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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