2020/11/15 by Alessandra Costantini, Costantini, Alessandra
Mathematics · Medicine · #Commutative Algebra and Its Applications #Cholinesterase and Neurodegenerative Diseases
paper · pdf · doi:10.48550/arxiv.2011.08453
Generic Bourbaki ideals were introduced by Simis, Ulrich and Vasconcelos to study the Cohen-Macaulay property of Rees algebras of modules. In this article we prove that the same technique can sometimes be used to investigate the Cohen-Macaulay property of fiber cones of modules and to study the defining ideal of Rees algebras. This is possible as long as the Rees algebra of a given module E is a deformation of the Rees algebra of a generic Bourbaki ideal I of E. Our main technical result provides a deformation condition that in fact extends the applicability of generic Bourbaki ideals to situations not covered by previous work.