Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897645 | Journal of Pure and Applied Algebra | 2018 | 27 Pages |
Abstract
We study consequences, for a standard graded algebra, of extremal behavior in Green's Hyperplane Restriction Theorem. First, we extend his Theorem 4 from the case of a plane curve to the case of a hypersurface in a linear space. Second, assuming a certain Lefschetz condition, we give a connection to extremal behavior in Macaulay's theorem. We apply these results to show that (1,19,17,19,1) is not a Gorenstein sequence, and as a result we classify the sequences of the form (1,a,aâ2,a,1) that are Gorenstein sequences.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jeaman Ahn, Juan C. Migliore, Yong-Su Shin,