Regularity comparison of symbolic powers, integral closure of powers and powers of edge ideals
Commutative Algebra
2022-10-12 v2 Algebraic Geometry
Abstract
We study the regularity of small symbolic powers and integral closure of small powers of edge ideals. We also prove that the regularity of integral closure of powers of edge ideals of graphs with at most two odd cycles is the same as the regularity of their powers.
Cite
@article{arxiv.2108.08609,
title = {Regularity comparison of symbolic powers, integral closure of powers and powers of edge ideals},
author = {Arvind Kumar and Rajiv Kumar},
journal= {arXiv preprint arXiv:2108.08609},
year = {2022}
}
Comments
16 pages; Title has been changed, and results on the comparison of the regularity of small powers have been added. Comments and suggestions are welcome