On the maximal graded shifts of ideals and modules

Jason McCullough

On the maximal graded shifts of ideals and modules

Commutative Algebra 2018-01-26 v1

Authors: Jason McCullough

Abstract

We generalize a result of Eisenbud-Huneke-Ulrich on the maximal graded shifts of a module with prescribed annihilator and prove a linear regularity bound for ideals in a polynomial ring depending only on the first $p - c$ steps in the resolution, where $p = \mathrm{pd}(S/I)$ and $c = \mathrm{codim}(I)$ .

Keywords

graded shifts module annihilator linear regularity polynomial ring ideal free resolution

Cite

@article{arxiv.1801.08194,
  title  = {On the maximal graded shifts of ideals and modules},
  author = {Jason McCullough},
  journal= {arXiv preprint arXiv:1801.08194},
  year   = {2018}
}

Comments

11 pages

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