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On monomial ideals whose Lyubeznik resolution is minimal

2013/12/02 by Jin Yun Guo, Guo, Jin, Tongsuo Wu +3 · 1 citation
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.1312.0321

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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