Toward Clemens' Conjecture in degrees between 10 and 24
| dc.creator | Johnsen, Trygve | |
| dc.creator | Kleiman, Steven L. | |
| dc.date | 1996-01-23 | |
| dc.date | 1996-03-22 | |
| dc.date.accessioned | 2026-07-07T08:58:06Z | |
| dc.date.available | 2026-07-07T08:58:06Z | |
| dc.description | We introduce and study a likely condition that implies the following form of Clemens' conjecture in degrees $d$ between 10 and 24: given a general quintic threefold $F$ in complex $\IP^4$, the Hilbert scheme of rational, smooth and irreducible curves $C$ of degree $d$ on $F$ is finite, nonempty, and reduced; moreover, each $C$ is embedded in $F$ with balanced normal sheaf $Ø(-1)\oplusØ(-1)$, and in $\IP^4$ with maximal rank. | |
| dc.description | Plain Tex, This eleven page paper is a joint manuscript, produced in connection with the first author's participation in the conference "Geometry and Physics", Zlatograd, Bulgaria, August 28 - Sept.2, 1995." This version contains a small change in Remark (3.3); the hope expressed there has been refined | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9601024 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9601024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147189 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J30 (primary) 14H45, 14N10 (Secondary) | |
| dc.title | Toward Clemens' Conjecture in degrees between 10 and 24 | |
| dc.type | text |