Geodesic
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 
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/
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     author = {S. G. Tankeev},
     title = {On the {Conjectures} of {Artin} and {Shafarevich{\textendash}Tate}},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

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