Dualizing complexes of affine semigroup rings

Schäfer, Uwe; Schenzel, Peter

doi:10.1090/S0002-9947-1990-1076179-6

Dualizing complexes of affine semigroup rings
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by Uwe Schäfer and Peter Schenzel PDF

Trans. Amer. Math. Soc. 322 (1990), 561-582 Request permission

Abstract:

For an affine semigroup ring we construct the dualizing complex in terms of the semigroup and the homology of the face lattice of the polyhedral cone spanned by the semigroup. As a consequence there are characterizations of locally Cohen-Macaulay rings, Buchsbaum rings, and Cohen-Macaulay rings as well as Serre’s condition ${\mathcal {S}_l}$.

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