Aramova, A. G. Symmetric products of Gorenstein varieties. (English) Zbl 0627.14036 C. R. Acad. Bulg. Sci. 40, No. 4, 5-7 (1987). Main result: If X is an affine Gorenstein variety over a field of characteristic \(0\) or of characteristic \(p>n,\) then the symmetric product \(X^{(n)}\) is also Gorenstein iff each component of X is even dimensional or a smooth curve. Reviewer: N.Manolache Cited in 1 Document MSC: 14M05 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Keywords:affine Gorenstein variety; symmetric product PDFBibTeX XMLCite \textit{A. G. Aramova}, C. R. Acad. Bulg. Sci. 40, No. 4, 5--7 (1987; Zbl 0627.14036)