Mathematics – Commutative Algebra
Scientific paper
2010-09-04
Mathematics
Commutative Algebra
20 pages
Scientific paper
We prove that for m > 2, the m-th symbolic power of a Stanley-Reisner ideal is Cohen-Macaulay if and only if the simplicial complex is a matroid. Similarly, the m-th ordinary power is Cohen-Macaulay for some m > 2 if and only if the complex is a complete intersection. These results solve several open questions on the Cohen-Macaulayness of ordinary and symbolic powers of Stanley-Reisner ideals. Moreover, they have interesting consequences on the Cohen-Macaulayness of symbolic powers of facet ideals and cover ideals.
Terai Naoki
Trung Ngo Viet
No associations
LandOfFree
Cohen-Macaulayness of large powers of Stanley-Reisner ideals 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 Cohen-Macaulayness of large powers of Stanley-Reisner ideals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohen-Macaulayness of large powers of Stanley-Reisner ideals will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-284823