CW-resolutions of monomial ideals that are supported on face posets

Daniel Wood

CW-resolutions of monomial ideals that are supported on face posets

Commutative Algebra 2016-05-09 v1 Combinatorics

Authors: Daniel Wood

Abstract

Given a monomial ideal $I$ with minimal free resolution $\mathcal{F}$ supported in characteristic $p>0$ on a CW-complex $X$ with regular $2$ -skeleton, we construct a CW-complex $Y$ that also supports~ $\mathcal{F}$ and such that the face poset $P(Y)$ also supports $\mathcal{F}$ in the sense of Clark and Tchernev.

Keywords

monomial ideal minimal free resolution CW-complex face poset characteristic p Clark and Tchernev

Cite

@article{arxiv.1605.01985,
  title  = {CW-resolutions of monomial ideals that are supported on face posets},
  author = {Daniel Wood},
  journal= {arXiv preprint arXiv:1605.01985},
  year   = {2016}
}

Comments

6 pages

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