The canonical module of a Cox ring

DOI10.1215/21562261-1424884zbMath1246.14012arXiv1007.3327OpenAlexW2061300718MaRDI QIDQ654867

Mitsuyasu Hashimoto, Kazuhiko Kurano

Publication date: 23 December 2011

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.3327

zbMATH Keywords

Cox ringcanonical modules

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Class groups (13C20)

Related Items (3)

On direct images of twisted pluricanonical sheaves on normal varieties ⋮ Hilbert functions of Cox rings of del Pezzo surfaces ⋮ Divisor class groups and graded canonical modules of multisection rings

Cites Work

• Equivariant Matlis and the local duality
• Local cohomology on diagrams of schemes
• On graded rings. I
• On graded rings. II: \(\mathbb{Z}\)-graded rings
• The total coordinate ring of a normal projective variety
• Noetherian rings graded by an abelian group
• Foundations of Grothendieck duality for diagrams of schemes
• Some remarks concerning Demazure’s construction of normal graded rings
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