The brauer group of quotient spaces by linear group actions

The brauer group of quotient spaces by linear group actions
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线性群作用的商空间的布劳尔群

DOI:
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发表时间:
1988
期刊:
影响因子:
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通讯作者:
F. Bogomolov
F. Bogomolov
中科院分区:
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文献类型:
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作者:
F. Bogomolov

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证明了对于线性代数群作用下线性空间的商空间的光滑紧化,Artin-Mumford双不变量是根据的二维群上同调有效计算的;研究了不变量为非平凡的群的例子。参考书目:6篇。
It is proved that for a smooth compactification of a quotient space of a linear space by the action of a linear algebraic group , the Artin-Mumford birational invariant is effectively computable in terms of the 2-dimensional group cohomology of ; examples of groups for which the invariant is nontrivial are also studied. Bibliography: 6 titles.