Monomial Resolutions Supported By Simplicial Trees

Details Monomial Resolutions Supported By Simplicial Trees Monomial Resolutions Supported By Simplicial Trees

2012-02-03

arxiv.org/abs/1202.0750v1

Mathematics

Commutative Algebra

Scientific paper

We explore resolutions of monomial ideals supported by simplicial trees. We argue that since simplicial trees are acyclic, the criterion of Bayer, Peeva and Sturmfels for checking if a simplicial complex supports a free resolution of a monomial ideal reduces to checking that certain induced subcomplexes are connected. We then use results of Peeva and Velasco to show that every simplicial tree appears as the Scarf complex of a monomial ideal, and hence supports a minimal resolution. We also provide a way to construct smaller Scarf ideals than those constructed by Peeva and Velasco.

Affiliated with

Also associated with

No associations

Rating

Monomial Resolutions Supported By Simplicial Trees does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Monomial Resolutions Supported By Simplicial Trees, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monomial Resolutions Supported By Simplicial Trees will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-5280