Some homological properties of Borel type ideals
Commutative Algebra
2021-12-23 v1
Abstract
We study ideals of Borel type, including -Borel ideals and -spread Veronese ideals. We determine their free resolutions and their homological shift ideals. The multiplicity and the analytic spread of equigenerated squarefree principal Borel ideals are computed. For the multiplicity, the result is given under an additional assumption which is always satisfied for squarefree principal Borel ideals. These results are used to analyze the behaviour of height, multiplicity and analytic spread of the homological shift ideals as functions of , when is an equigenerated squarefree Borel ideal.
Keywords
Cite
@article{arxiv.2112.11726,
title = {Some homological properties of Borel type ideals},
author = {Jürgen Herzog and Somayeh Moradi and Masoomeh Rahimbeigi and Guangjun Zhu},
journal= {arXiv preprint arXiv:2112.11726},
year = {2021}
}