Imperial College London
Alternate

ProfessorAlexeiSkorobogatov

Faculty of Natural Sciences, Department of Mathematics

Professor of Pure Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8493a.skorobogatov Website

 
 
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Location

 

664Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Skorobogatov:2008,
author = {Skorobogatov, AN and Zarhin, YG},
journal = {JOURNAL OF ALGEBRAIC GEOMETRY},
pages = {481--502},
title = {A FINITENESS THEOREM FOR THE BRAUER GROUP OF ABELIAN VARIETIES AND K3 SURFACES},
url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000263003600002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202},
volume = {17},
year = {2008}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Let k be a field finitely generated over the field of rational numbers, and Br(k) the Brauer group of k. For an algebraic variety X over k we consider the cohomological Brauer-Grothendieck group Br(X). We prove that the quotient of Br(X) by the image of Br(k) is finite if X is a K3 surface. When X is an abelian variety over k, and X is the variety over an algebraic closure (k) over bar of k obtained from X by the extension of the ground field, we prove that the image of Br(X) in Br(X) is finite.
AU  - Skorobogatov,AN
AU  - Zarhin,YG
EP  - 502
PY  - 2008///
SN  - 1056-3911
SP  - 481
TI  - A FINITENESS THEOREM FOR THE BRAUER GROUP OF ABELIAN VARIETIES AND K3 SURFACES
T2  - JOURNAL OF ALGEBRAIC GEOMETRY
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000263003600002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
VL  - 17
ER  -
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