×

Symmetric products of Gorenstein varieties. (English) Zbl 0627.14036

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

MSC:

14M05 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
PDFBibTeX XMLCite