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

Rin Sugiyama

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arXiv · 0911.5065

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

Rin Sugiyama

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Abstract

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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Rin Sugiyama. 2009-11-26. On the kernel of the reciprocity map of simple normal crossing varieties over finite fields. https://arxiv.org/abs/0911.5065

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