Multigraded extended Rees algebras of $m$-primary ideals
Commutative Algebra
2007-05-23 v1
Abstract
In this paper we consider multi-graded extended Rees algebras of zero dimensional ideals which are Cohen-Macaulay (CM) with minimal multiplicity. We show that the minimal multiplicity property can occur only for the ordinary extended Rees algebra and the bigraded extended Rees algebra. For the bigraded extended Rees algebra we find necessary conditions for it to be CM with minimal multiplicity. We also produce bigraded Rees algebras which are Cohen-Macaulay with minimal multiplicity.
Keywords
Cite
@article{arxiv.math/0409096,
title = {Multigraded extended Rees algebras of $m$-primary ideals},
author = {Clare D'Cruz},
journal= {arXiv preprint arXiv:math/0409096},
year = {2007}
}
Comments
To appear in Nagoya Mathematical Journal