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The Kernel of the Reciprocity Map of Simple Normal Crossing Varieties over Finite Fields

URN to cite this document:
urn:nbn:de:bvb:355-epub-342637
DOI to cite this document:
10.5283/epub.34263
Forre, Patrick
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Date of publication of this fulltext: 08 Aug 2016 11:18



Abstract

For a smooth and proper variety Y over a finite field k the reciprocity map ρY:\CH0(Y)→π\ab1(Y) is injective with dense image. For a proper simple normal crossing variety this is no longer true in general. In this paper we give a discription of the kernel and cokernel of the reciprocity map in terms of homology groups of a complex filled with descent data using an algebraic Seifert-van-Kampen ...

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