Artinian Gorenstein algebras of embedding dimension four: Components of PGor(H) for H=(1,4,7,..., 1)
| dc.creator | Iarrobino, Anthony | |
| dc.creator | Srinivasan, Hema | |
| dc.date | 2004-12-23 | |
| dc.date.accessioned | 2026-07-07T05:15:36Z | |
| dc.date.available | 2026-07-07T05:15:36Z | |
| dc.description | We first determine all height four Gorenstein sequences beginning H=(1,4,7,...), and we show that their first differences satisfy $ΔH_{\le j/2}$ is an O-sequence. We then study the family PGor(H) parametrizing all graded Artinian Gorenstein [AG] quotients A=R/I of the polynomial ring R=K[w,x,y,z] having a Hilbert function H as above. We give a structure theorem for such AG quotients with $I_2\cong < wx,wy,wz>$. For most H this subfamily forms an irreducible component of PGor(H), and for a slightly more restrictive set, PGor(H) has several irreducible components. M. Boij and others had already shown that PGor(T) is reducible for certain Gorenstein sequences T in codimensions at least four. | |
| dc.description | 29 pages. To appear Vasconcelos special issue of JPAA | |
| dc.identifier | https://arxiv.org/abs/math/0412466 | |
| dc.identifier | http://arxiv.org/abs/math/0412466 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73685 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13E10; 13H10 | |
| dc.title | Artinian Gorenstein algebras of embedding dimension four: Components of PGor(H) for H=(1,4,7,..., 1) | |
| dc.type | text |