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摘要翻译：
本文讨论了泛域自同构群的光滑（即用开稳定子）表示的“几何化”，以及这类群的“几何”表示的性质。作为应用，我们计算了代数闭域无限超越度的代数闭扩张的自同构群的几类光滑表示的上同调群。
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英文标题：
《Smooth representations and sheaves》
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作者：
U. Jannsen, M. Rovinsky
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最新提交年份：
2009
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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 paper is concerned with `geometrization' of smooth (i.e. with open stabilizers) representations of the automorphism group of universal domains, and with the properties of `geometric' representations of such groups. As an application, we calculate the cohomology groups of several classes of smooth representations of the automorphism group of an algebraically closed extension of infinite transcendence degree of an algebraically closed field.
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PDF链接：
https://arxiv.org/pdf/0707.3914
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