Codimension 2 cycles on Severi-Brauer varieties
type: Item
instance of: scholarly article
title: Codimension 2 cycles on Severi-Brauer varieties
zbMATH Open document ID: 0896.19002
DOI: 10.1023/A:1007705720373
author: Nikita Karpenko
published in: \(K\)-Theory
publication date: 1998-09-27T00:00:00Z
review text: The paper contains a study of the torsion subgroup of the second Chow group of codimension 2 cycles on a Severi-Brauer variety of a central simple algebra \(A\). This group is finite and annulated by \(\text{ind }A\). At first, the author reduces the computation of the torsion group to the case when \(\text{ind} A\) is a power of a prime. Next, for the algebras of a prime exponent \(p\) he proves that the torsion subgroup is cyclic of order \(p\) or trivial. There are many other results, examples and remarks on the subject.
Mathematics Subject Classification ID: 19E15
Mathematics Subject Classification ID: 14C25
Mathematics Subject Classification ID: 16K20
Mathematics Subject Classification ID: 14C35
zbMATH DE Number: 1139534
zbMATH Keywords: torsion subgroup
zbMATH Keywords: second Chow group
zbMATH Keywords: Severi-Brauer variety
zbMATH Keywords: central simple algebra
reviewed by: A. N. Parshin
MaRDI profile type: Publication
full work available at URL: a:1007705720373
OpenAlex ID: W2076019846
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description: scientific article; zbMATH DE number 1139534