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

Пнд, 11/30/2009 - 16:01 — SomNambul
Authors: Rin Sugiyama
Subjects: Number Theory
link: http://arxiv.org/abs/0911.5065
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.