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Divisor class groups and graded canonical modules of multisection rings

Published online by Cambridge University Press:  11 January 2016

Kazuhiko Kurano
Kazuhiko Kurano*
Affiliation:
Department of Mathematics, School of Science and Technology, Meiji University, Kawasaki 214-8571, Japan, kurano@isc.meiji.ac.jp
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Abstract

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We describe the divisor class group and the graded canonical module of the multisection ring T (X;D1,…, Ds) for a normal projective variety X and Weil divisors D1,…, Ds on X under a mild condition. In the proof, we use the theory of Krull domain and the equivariant twisted inverse functor.

Keywords

14C2013C20
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 212 , December 2013 , pp. 139 - 157
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2013

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