Lefschetz properties of monomial ideals with almost linear resolution

Nasrin Altafi; Navid Nemati

Lefschetz properties of monomial ideals with almost linear resolution

Commutative Algebra 2018-03-06 v1

Authors: Nasrin Altafi , Navid Nemati

Abstract

We study the WLP and SLP of artinian monomial ideals in $S=\mathbb{K}[x_1,\dots ,x_n]$ via studying their minimal free resolutions. We study the Lefschetz properties of such ideals where the minimal free resolution of $S/I$ is linear for at least $n-2$ steps. We give an affirmative answer to a conjecture of Eisenbud, Huneke and Ulrich for artinian monomial ideals with almost linear resolutions.

Keywords

lefschetz property monomial ideals and free resolutions monomial ideals

Cite

@article{arxiv.1803.01388,
  title  = {Lefschetz properties of monomial ideals with almost linear resolution},
  author = {Nasrin Altafi and Navid Nemati},
  journal= {arXiv preprint arXiv:1803.01388},
  year   = {2018}
}

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