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arxiv: 0911.5065 · v1 · pith:CUYZELTEnew · submitted 2009-11-26 · 🧮 math.NT · math.AG

On the kernel of the reciprocity map of simple normal crossing varieties over finite fields

classification 🧮 math.NT math.AG
keywords crossingfinitenormalreciprocitysimplekernelvarietiescertain
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In this paper, we study the kernel of the reciprocity map of certain simple normal crossing varieties over a finite field and give a example of a simple normal crossing surface whose reciprocity map is not injective for any finite scalar extension.

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