Monomial ideals with tiny squares
Commutative Algebra
2021-08-17 v1 Combinatorics
Abstract
Let be a monomial ideal. How small can be in terms of ? It has been expected that the inequality should hold whenever . Here we disprove this expectation and provide a somewhat surprising answer to the above question.
Cite
@article{arxiv.1801.07672,
title = {Monomial ideals with tiny squares},
author = {Shalom Eliahou and Jürgen Herzog and Maryam Mohammadi Saem},
journal= {arXiv preprint arXiv:1801.07672},
year = {2021}
}