A characterization of quasi-homogeneous Gorenstein surface singularities
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Let Sigma C PN be a smooth connected arithmetically Cohen-Macaulay surface. Then there are at most finitely many complete linear systems on Sigma, not of the type |kH - K| (H hyperplane section and K canonical divisor on Sigma), containing arithmetically Gorenstein curves.
Siegfried Suckow (1973)
Mathematische Annalen
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