Rees algebras of ideals of star configurations
Commutative Algebra
2021-08-23 v2
Abstract
In this article we study the defining ideal of Rees algebras of ideals of star configurations. We characterize when these ideals are of linear type and provide sufficient conditions for them to be of fiber type. In the case of star configurations of height two, we give a full description of the defining ideal of the Rees algebra, by explicitly identifying a minimal generating set.
Cite
@article{arxiv.2107.12260,
title = {Rees algebras of ideals of star configurations},
author = {Alessandra Costantini and Ben Drabkin and Lorenzo Guerrieri},
journal= {arXiv preprint arXiv:2107.12260},
year = {2021}
}
Comments
32 pages. In this updated version, we fixed typos and made a few changes in the exposition of Sections 2, 3 and 6