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{Orr:2022,
author = {Orr, M and Skorobogatov, A and Valloni, D and Zarhin, Y},
journal = {Israel Journal of Mathematics},
pages = {695--733},
title = {Invariant Brauer group of an abelian variety},
url = {https://link.springer.com/article/10.1007/s11856-022-2323-5},
volume = {249},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We study a new object that can be attached to an abelian variety or a complex torus:  the invariant Brauer group, as recently defined by Yang Cao.   Over the field of complex numbers this is an elementary abelian 2-group with an explicit upper bound on the rank.  We exhibit many cases in which the invariant  Brauer  group  is  zero,  and  construct  complex  abelian  varieties  in every dimension starting with 2, both simple and non-simple, with invariant Brauer group of order 2.  We also address the situation in finite characteristic and over non-closed fields.
AU  - Orr,M
AU  - Skorobogatov,A
AU  - Valloni,D
AU  - Zarhin,Y
EP  - 733
PY  - 2022///
SN  - 0021-2172
SP  - 695
TI  - Invariant Brauer group of an abelian variety
T2  - Israel Journal of Mathematics
UR  - https://link.springer.com/article/10.1007/s11856-022-2323-5
UR  - http://hdl.handle.net/10044/1/89836
VL  - 249
ER  -
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