Canonical modules of Rees algebras

Mathematics – Commutative Algebra

Scientific paper

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14 pages

Scientific paper

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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