On monomial ideals whose Lyubeznik resolution is minimal

Jin Guo; Tongsuo Wu; Houyi Yu

On monomial ideals whose Lyubeznik resolution is minimal

Commutative Algebra 2013-12-03 v1

Authors: Jin Guo , Tongsuo Wu , Houyi Yu

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.

Keywords

monomial ideals and free resolutions ideal theory monomial ideals

Cite

@article{arxiv.1312.0321,
  title  = {On monomial ideals whose Lyubeznik resolution is minimal},
  author = {Jin Guo and Tongsuo Wu and Houyi Yu},
  journal= {arXiv preprint arXiv:1312.0321},
  year   = {2013}
}

Comments

13 pages

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