Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771835 | Journal of Algebra | 2017 | 39 Pages |
Abstract
We study Gorenstein h-vectors (h0,h1,â¦,he) of socle degree e with h1â¥hi for each i, and find a necessary and sufficient condition that there exists a nonunimodal Gorenstein sequence in terms of socle degree e and codimension h1. In particular, we prove that there exist nonunimodal Gorenstein h-vectors if and only if h1â¥4eâ3 for eâ¥4. We also find infinitely many cases of non-Gorenstein h-vectors having the lower bound in [15]. This result generalizes the recent work [17] that the h-vector (1,12,11,12,1) is not a Gorenstein sequence.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jeaman Ahn, Yong-Su Shin,