Geodesic
On~rings with a~discrete divisor class group
Sbornik. Mathematics, Tome 17 (1972) no. 2, pp. 228-236

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We consider the conjecture: $C(A)=C(A[[T]])$ for a local ring $A$ if and only if the divisor class group of the strict henselization $C(^\mathrm{sh}A)$ has a finite number of generators. This conjecture is proved in two cases: 1) $A$ has characteristic $0$, 2) $A$ is an equicharacteristic ring of an isolated singularity. Bibliography: 15 titles. 
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     author = {V. I. Danilov},
     title = {On~rings with a~discrete divisor class group},
     journal = {Sbornik. Mathematics},
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     number = {2},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1972_17_2_a4/}
}
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V. I. Danilov. On~rings with a~discrete divisor class group. Sbornik. Mathematics, Tome 17 (1972) no. 2, pp. 228-236. http://geodesic.mathdoc.fr/item/SM_1972_17_2_a4/