The Canonical Module of a Cox Ring

Abstract

In this paper, we shall describe the graded canonical module of a Noetherian multi-section ring of a normal projective variety. In particular, in the case of the Cox ring, we prove that the graded canonical module is a graded free module of rank one with the shift of degree KX . We shall give two kinds of proofs. The first one utilizes the equivariant… (More)

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