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arXiv · 1206.3712

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

Kazuhiko Kurano
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Abstract

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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Kazuhiko Kurano. 2012-06-16. The divisor class groups and the graded canonical modules of multi-section rings. https://doi.org/10.1215/00277630-2366323

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