Generalized Divisors and Biliaison
| dc.creator | Hartshorne, Robin | |
| dc.date | 2003-01-15 | |
| dc.date | 2006-11-29 | |
| dc.date.accessioned | 2026-07-07T06:35:34Z | |
| dc.date.available | 2026-07-07T06:35:34Z | |
| dc.description | We extend the theory of generalized divisors so as to work on any scheme $X$ satisfying the condition $S_2$ of Serre. We define a generalized notion of Gorenstein biliaison for schemes in projective space. With this we give a new proof in a stronger form of the theorem of Gaeta, that standard determinantal schemes are in the Gorenstein biliaison class of a complete intersection. We also show, for schemes of codimension three in ${\mathbb P}^n$, that the relation of Gorenstein biliaison is equivalent to the relation of even strict Gorenstein liaison. | |
| dc.description | 15 pages. A new section 5 with a new theorem has been added to the paper | |
| dc.identifier | https://arxiv.org/abs/math/0301162 | |
| dc.identifier | http://arxiv.org/abs/math/0301162 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99831 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C20; 13C40; 14M06 | |
| dc.title | Generalized Divisors and Biliaison | |
| dc.type | text |