摘要翻译：
Cremona群作用于复数上两个独立交换变量的域上。本文给出了一个非交换环，它是两个自变量的非交换域的模拟，并证明了Cremona群嵌入到该环的外自同构群中。该结果的第一个证明是技术性的，第二个证明是概念性的，给出了从相干束的有界导出范畴得到非交换环的一种方法。
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英文标题：
《The action of the Cremona group on the non-commutative ring》
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作者：
Alexandr Usnich
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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：
  The Cremona group acts on the field of two independent commutative variables over complex numbers. We provide a non-commutative ring that is an analog of non-commutative field of two independent variables and prove that the Cremona group embeds in the group of outer automorphisms of this ring. First proof of this result is technical, the second one is conceptual and gives a way to obtain non-commutative rings from the bounded derived categories of coherent sheaves.
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PDF链接：
https://arxiv.org/pdf/0710.4561