English

Canonical modules of Rees algebras

Commutative Algebra 2007-05-23 v3 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/0208217,
  title  = {Canonical modules of Rees algebras},
  author = {Winfried Bruns and Gaetana Restuccia},
  journal= {arXiv preprint arXiv:math/0208217},
  year   = {2007}
}

Comments

14 pages

R2 v1 2026-07-22T16:47:18.175Z