K-Theory of Azumaya Algebras over Schemes
Data(s) |
01/04/2013
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Resumo |
Let X be a connected, noetherian scheme and A{script} be a sheaf of Azumaya algebras on X, which is a locally free O{script}-module of rank a. We show that the kernel and cokernel of K(X) ? K(A{script}) are torsion groups with exponent a for some m and any i = 0, when X is regular or X is of dimension d with an ample sheaf (in this case m = d + 1). As a consequence, K(X, Z/m) ? K(A{script}, Z/m), for any m relatively prime to a. © 2013 Copyright Taylor and Francis Group, LLC. |
Identificador |
http://dx.doi.org/10.1080/00927872.2011.608764 http://www.scopus.com/inward/record.url?eid=2-s2.0-84875931670&partnerID=8YFLogxK |
Idioma(s) |
eng |
Direitos |
info:eu-repo/semantics/restrictedAccess |
Fonte |
Hazrat , R & Hoobler , R T 2013 , ' K-Theory of Azumaya Algebras over Schemes ' Communications in Algebra , vol 41 , no. 4 , pp. 1268-1277 . DOI: 10.1080/00927872.2011.608764 |
Tipo |
article |