A characterization of Gorenstein Hilbert functions in codimension four with small initial degree
| dc.creator | Migliore, Juan C. | |
| dc.creator | Nagel, Uwe | |
| dc.creator | Zanello, Fabrizio | |
| dc.date | 2007-03-29 | |
| dc.date | 2007-07-13 | |
| dc.date.accessioned | 2026-07-07T09:31:24Z | |
| dc.date.available | 2026-07-07T09:31:24Z | |
| dc.description | The main goal of this paper is to characterize the Hilbert functions of all (artinian) codimension 4 Gorenstein algebras that have at least two independent relations of degree four. This includes all codimension 4 Gorenstein algebras whose initial relation is of degree at most 3. Our result shows that those Hilbert functions are exactly the so-called {\em SI-sequences} starting with (1,4,h_2,h_3,...), where $h_4 \leq 33$. In particular, these Hilbert functions are all unimodal. We also establish a more general unimodality result, which relies on the values of the Hilbert function not being too big, but is independent of the initial degree. | |
| dc.description | A few changes. Final version, to appear in Math. Res. Lett | |
| dc.identifier | https://arxiv.org/abs/math/0703901 | |
| dc.identifier | http://arxiv.org/abs/math/0703901 | |
| dc.identifier | Math. Res. Lett. 15 (2008), 331-349 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158444 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13E10 (primary); 13H10, 13D40 (secondary) | |
| dc.title | A characterization of Gorenstein Hilbert functions in codimension four with small initial degree | |
| dc.type | text |