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arXiv · 1312.0321

On monomial ideals whose Lyubeznik resolution is minimal

Jin Guo·Tongsuo Wu·Houyi Yu
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Abstract

For a monomial ideal $I$, let $G(I)$ be its minimal set of monomial generators. If there is a total order on $G(I)$ such that the corresponding Lyubeznik resolution of $I$ is a minimal free resolution of $I$, then $I$ is called a Lyubeznik ideal. In this paper, we characterize the Lyubeznik ideals, and we discover some classes of Lyubeznik ideals.

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Jin Guo, Tongsuo Wu, Houyi Yu. 2013-12-02. On monomial ideals whose Lyubeznik resolution is minimal. https://arxiv.org/abs/1312.0321

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