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arXiv · 2510.12149

Extremal Betti numbers of certain two-dimensional monomial ideals

Nguyen Quang Loc·Nguyen Cong Minh·Phan Thi Thuy
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Abstract

In this paper, we shall provide explicit formulas for the extremal Betti numbers of $R/I$, where $I$ is the defining ideal of certain weighted hyperplanes in $\Bbb{P}^{n-1}$ and $R$ is the polynomial ring in $n$ 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.

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Nguyen Quang Loc, Nguyen Cong Minh, Phan Thi Thuy. 2025-10-14. Extremal Betti numbers of certain two-dimensional monomial ideals. https://arxiv.org/abs/2510.12149

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