On monomial ideals whose Lyubeznik resolution is minimal

preprint2013arXivOpen access

Abstract

For a monomial ideal II, let G(I)G(I) be its minimal set of monomial generators. If there is a total order on G(I)G(I) such that the corresponding Lyubeznik resolution of II is a minimal free resolution of II, then II 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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