Residual intersections and modules with Cohen-Macaulay Rees algebra
Commutative Algebra
2020-11-19 v3
Abstract
In this paper, we consider a finite, torsion-free module over a Gorenstein local ring. We provide sufficient conditions for to be of linear type and for the Rees algebra of to be Cohen-Macaulay. Our results are obtained by constructing a generic Bourbaki ideal of and exploiting properties of the residual intersections of .
Cite
@article{arxiv.1811.08402,
title = {Residual intersections and modules with Cohen-Macaulay Rees algebra},
author = {Alessandra Costantini},
journal= {arXiv preprint arXiv:1811.08402},
year = {2020}
}
Comments
20 pages. Previously uploaded under the title "On the Cohen-Macaulayness and defining ideal of Rees algebras of modules". Section 3 from the first version has been expanded and now occupies Sections 3 and 4. Content of former Section 4 now appears in arXiv:2011.08453