On the Conjectures of Artin and Shafarevich--Tate
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and algebraic geometry, Tome 241 (2003), pp. 254-264

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For an arithmetic model $\pi\colon X\to\operatorname{Spec}A$ of a smooth projective variety $V$ over a number field $k$, the interrelations between the conjecture of Artin about the finiteness of $\mathrm{Br}(X)$ and the conjecture of Shafarevich–Tate about the finiteness of $\text{III}(\operatorname {Spec}A,\mathrm{Pic}^0(V))$ are studied.
@article{TM_2003_241_a13,
     author = {S. G. Tankeev},
     title = {On the {Conjectures} of {Artin} and {Shafarevich--Tate}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {254--264},
     publisher = {mathdoc},
     volume = {241},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2003_241_a13/}
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S. G. Tankeev. On the Conjectures of Artin and Shafarevich--Tate. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and algebraic geometry, Tome 241 (2003), pp. 254-264. http://geodesic.mathdoc.fr/item/TM_2003_241_a13/