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Divisor class groups of some 3-dimensional singularities. (English) Zbl 0741.14019

Topics in algebra. Part 2: Commutative rings and algebraic groups, Pap. 31st Semester Class. Algebraic Struct., Warsaw/Poland 1988, Banach Cent. Publ. 26, Part 2, 27-30 (1990).
[For the entire collection see Zbl 0716.00007.]
The authors compute the divisor class group for the exceptional divisors of simple 3-dimensional singularities in all characteristics \(\neq 2\). The same groups were computed, in case of characteristic zero, by J. Bingener and U. Storch [Nova Acta Leopold., Neue Folge 52, No. 240, 7-63 (1981; Zbl 0492.14005)].

MSC:

14J30 \(3\)-folds
14B05 Singularities in algebraic geometry
14C22 Picard groups
14G15 Finite ground fields in algebraic geometry
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