Alwadi, Y.; Dgheim, B.; Roczen, M. 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)]. Reviewer: E.Casas-Alvero (Barcelona) Cited in 1 ReviewCited in 1 Document MSC: 14J30 \(3\)-folds 14B05 Singularities in algebraic geometry 14C22 Picard groups 14G15 Finite ground fields in algebraic geometry Keywords:Picard group; divisor class group; exceptional divisors; simple 3- dimensional singularities; characteristic \(\neq 2\) Citations:Zbl 0716.00007; Zbl 0492.14005 PDFBibTeX XMLCite \textit{Y. Alwadi} et al., Banach Cent. Publ. None, 27--30 (1990; Zbl 0741.14019)