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Canonical modules of Rees algebras

2002/08/28 by Winfried Bruns, Bruns, Winfried, Gaetana Restuccia +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Pharmacological Receptor Mechanisms and Effects #math.AC #math.AG #msc:13A30 #msc:14M12

paper · pdf · doi:10.48550/arxiv.math/0208217

14 pages

arxiv created 2003/11/19 · arxiv updated 2009/11/30

Abstract

We compute the canonical class of certain Rees algebras. Our formula generalizes that of Herzog and Vasconcelos. Its proof relies on the fact that the formation of the canonical module commutes with subintersections in important cases. As an application we treat the classical determinantal ideals and the corresponding algebras of minors.

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