On two simple criteria for recognizing complete intersections in codimension 2
| dc.creator | Arsie, Alessandro | |
| dc.date | 2000-05-15 | |
| dc.date | 2000-05-20 | |
| dc.date.accessioned | 2026-07-07T04:35:15Z | |
| dc.date.available | 2026-07-07T04:35:15Z | |
| dc.description | Developing a previous idea of Faltings, we characterize the complete intersections of codimension 2 in P^n, n>=3, over an algebraically closed field of any characteristic, among l.c.i. X, as those that are subcanonical and scheme-theoretically defined by p<=n-1 equations. Moreover, we give some other results assuming that the normal bundle of X extends to a numerically split bundle on P^n, p<=n and the characteristic of the base field is zero. Finally, we give a (partial) answer to a question posed recently by Franco, Kleiman and Lascu on self-linking and complete intersections in positive characteristic. | |
| dc.description | 10 pages, LaTeX; some hypotheses simplified; due to a misunderstanding with Lascu, I apologize for having announced a "work in progress" in the references, which, unfortunately does not exist! | |
| dc.identifier | https://arxiv.org/abs/math/0005142 | |
| dc.identifier | http://arxiv.org/abs/math/0005142 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59193 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 14M10; 14M06 | |
| dc.title | On two simple criteria for recognizing complete intersections in codimension 2 | |
| dc.type | text |