We establish restrictions on the Hilbert function of standard graded Gorenstein algebras with only quadratic relations. Furthermore, we pose some intriguing conjectures and provide evidence for them by proving them in some cases using a number of different techniques, including liaison theory and generic initial ideals.
|Number of pages||23|
|State||Published - May 2013|
Bibliographical noteFunding Information:
Part of the work for this paper was done while the second author was sponsored by the National Security Agency under Grant Number H98230-07-1-0065 and H98230-09-1-0032.
Part of the work for this paper was done while the first author was sponsored by the National Security Agency under Grant Number H98230-07-1-0036 and H98230-09-1-0031.
ASJC Scopus subject areas
- Mathematics (all)
- Applied Mathematics