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arxiv: 1206.3712 · v1 · pith:MNIUSHTLnew · submitted 2012-06-16 · 🧮 math.AC · math.AG

The divisor class groups and the graded canonical modules of multi-section rings

classification 🧮 math.AC math.AG
keywords canonicalclassdivisorgradedmulti-sectionconditiondescribedivisors
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We shall describe the divisor class group and the graded canonical module of the multi-section ring for a normal projective variety X and Weil divisors D_1,..., D_s on X under a mild condition. In the proof, we use the theory of Krull domain and the equivariant twisted inverse functor due to Hashimoto.

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