Even Linkage Classes
| dc.creator | Nollet, Scott R. | |
| dc.date | 1994-12-14 | |
| dc.date.accessioned | 2026-07-07T09:06:20Z | |
| dc.date.available | 2026-07-07T09:06:20Z | |
| dc.description | In this paper the author generalizes the $\E$ and $\N$-type resolutions used by Martin-Deschamps and Perrin to subschemes of pure codimension in projective space, and shows that these resolutions are interchanged by the mapping cone procedure under a simple linkage. Via these resolutions, Rao's correspondence is extended to give a bijection between even linkage classes of subschemes of pure codimension two and stable equivalence classes of reflexive sheaves $\E$ satisfying $H^1_*(\E)=0$ and $\ext^1(\E^\vee, Ø)=0$. Further, these resolutions are used to extend the work of Martin-Deschamps and Perrin for Cohen-Macaulay curves in $\Pthree$ to subschemes of pure codimension two in $\Pn$. In particular, even linkage classes of such subschemes have the Lazarsfeld-Rao property and any minimal subscheme for an even linkage class is directly linked to a minimal subscheme for the dual class. | |
| dc.description | 26 pages AMS-TeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9412013 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9412013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149968 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Even Linkage Classes | |
| dc.type | text |