L. Szpiro's conjecture on Gorenstein algebras in codimension 2
| dc.creator | Böhning, Christian | |
| dc.date | 2004-02-23 | |
| dc.date.accessioned | 2026-07-07T05:05:39Z | |
| dc.date.available | 2026-07-07T05:05:39Z | |
| dc.description | A Gorenstein A-algebra R of codimension 2 is a perfect finite A-algebra such that R=Ext^2(R,A) holds as R-modules, A being a Cohen-Macaulay local ring with dim(A)-dim_A(R)=2. I prove a structure theorem for these algebras improving on an old theorem of M. Grassi. Special attention is paid to the question how the ring structure of R is encoded in its Hilbert resolution. It is shown that R is automatically a ring once one imposes a weak depth condition on a determinantal ideal derived from a presentation matrix of R over A. The interplay of Gorenstein algebras and Koszul modules as introduced by M. Grassi is clarified. Questions of applicability to canonical surfaces in P^4 have served as a guideline in these investigations. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0402370 | |
| dc.identifier | http://arxiv.org/abs/math/0402370 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70247 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D02 | |
| dc.title | L. Szpiro's conjecture on Gorenstein algebras in codimension 2 | |
| dc.type | text |