Extremal Betti numbers of certain two-dimensional monomial ideals
Commutative Algebra
2025-10-15 v1
Abstract
In this paper, we shall provide explicit formulas for the extremal Betti numbers of , where is the defining ideal of certain weighted hyperplanes in and is the polynomial ring in indeterminates over a field. As a consequence, we completely classify such ideals which are pseudo-Gorenstein as in sense of V. Ene, J. Herzog, T. Hibi and S. S. Madani.
Cite
@article{arxiv.2510.12149,
title = {Extremal Betti numbers of certain two-dimensional monomial ideals},
author = {Nguyen Quang Loc and Nguyen Cong Minh and Phan Thi Thuy},
journal= {arXiv preprint arXiv:2510.12149},
year = {2025}
}