Componentwise linear syzygies and good almost regular sequences

Satoru Isogawa

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arXiv · 2503.22261

Componentwise linear syzygies and good almost regular sequences

Satoru Isogawa

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Abstract

In this paper, we introduce the notion of $γ$-regular sequences to characterize the property that graded modules have componentwise linear syzygies. This extends Harima and Watanabe's characterization of componentwise linear ideals in terms of $\mathfrak{m}$-full property.

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Satoru Isogawa. 2025-03-28. Componentwise linear syzygies and good almost regular sequences. https://arxiv.org/abs/2503.22261

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