Geodesic
The Brauer group of an Abelian variety over a~finite field
Izvestiya. Mathematics , Tome 20 (1983) no. 2, pp. 203-234

Voir la notice de l'article provenant de la source Math-Net.Ru

The author presents a formula for the order of a component of the Brauer group of an Abelian variety over a finite field, where the order of the component in question is relatively prime to the characteristic of the field. For principally polarized Abelian surfaces this formula becomes the well-known Artin–Tate formula. A natural nondegenerate pairing between the components of the Brauer groups of an Abelian variety and its Picard variety is constructed. Bibliography: 27 titles. 
@article{IM2_1983_20_2_a1,
     author = {Yu. G. Zarhin},
     title = {The {Brauer} group of an {Abelian} variety over a~finite field},
     journal = {Izvestiya. Mathematics },
     pages = {203--234},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {1983},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1983_20_2_a1/}
}
TY  - JOUR
AU  - Yu. G. Zarhin
TI  - The Brauer group of an Abelian variety over a~finite field
JO  - Izvestiya. Mathematics 
PY  - 1983
SP  - 203
EP  - 234
VL  - 20
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1983_20_2_a1/
LA  - en
ID  - IM2_1983_20_2_a1
ER  - 
%0 Journal Article
%A Yu. G. Zarhin
%T The Brauer group of an Abelian variety over a~finite field
%J Izvestiya. Mathematics 
%D 1983
%P 203-234
%V 20
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1983_20_2_a1/
%G en
%F IM2_1983_20_2_a1
Yu. G. Zarhin. The Brauer group of an Abelian variety over a~finite field. Izvestiya. Mathematics , Tome 20 (1983) no. 2, pp. 203-234. http://geodesic.mathdoc.fr/item/IM2_1983_20_2_a1/