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

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

2009-11-26

arxiv.org/abs/0911.5065v1

Mathematics

Number Theory

This article is the first version and may be revised hereafter

Scientific paper

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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