On the structure of Stanley-Reisner rings associated to cyclic polytopes

Details On the structure of Stanley-Reisner rings associated to cyclic polytopes On the structure of Stanley-Reisner rings associated to cyclic polytopes

2009-12-11

arxiv.org/abs/0912.2152v2

Mathematics

Commutative Algebra

Version 2, minor improvements, 20 pages. Package may be downloaded at http://www.math.uni-sb.de/ag/schreyer/jb/Macaulay2/Cycli

Scientific paper

We study the structure of Stanley-Reisner rings associated to cyclic polytopes, using ideas from unprojection theory. Consider the boundary simplicial complex Delta(d,m) of the d-dimensional cyclic polytope with m vertices. We show how to express the Stanley-Reisner ring of Delta(d,m+1) in terms of the Stanley-Reisner rings of Delta(d,m) and Delta(d-2,m-1). As an application, we use the Kustin-Miller complex construction to identify the minimal graded free resolutions of these rings. In particular, we recover results of Schenzel, Terai and Hibi about their graded Betti numbers.

Affiliated with

Also associated with

No associations

Rating

On the structure of Stanley-Reisner rings associated to cyclic polytopes 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 On the structure of Stanley-Reisner rings associated to cyclic polytopes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the structure of Stanley-Reisner rings associated to cyclic polytopes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-467797