关于仿射曲线的剩余映射
On residue maps for affine curves
摘要：
我们建立了几个相容性之间的剩余映射的étale和伽罗瓦上同调，自然出现在光滑的仿射代数曲线的分析具有好约化离散值的字段。这些结果是研究数域上仿射曲线的函数域的非分歧上同调的有限性所需要的，实际上已经被应用了。
英文摘要：
We establish several compatibility results between residue maps in étale and Galois cohomology that arise naturally in the analysis of smooth affine algebraic curves having good reduction over discretely valued fields. These results are needed, and in fact have already been used, for the study of finiteness properties of the unramified cohomology of function fields of affine curves over number fields.
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