A note on scrolls of smallest embedded codimension
| dc.creator | Fujita, Takao | |
| dc.date | 1995-07-07 | |
| dc.date | 1995-07-11 | |
| dc.date.accessioned | 2026-07-07T08:57:59Z | |
| dc.date.available | 2026-07-07T08:57:59Z | |
| dc.description | Let $M$ be a submanifold of ${\Bbb P}^N$ of dimension $n>2$. Suppose that $(M,{\Cal O}_M(1))\cong{\Bbb P}({\Cal E}),{\Cal O}(1))$ for some vector bundle ${\Cal E}$ on a surface $S$. Then $N\ge 2n-1$ by Barth-Lefschetz Theorem. We are interested in the case $N=2n-1$. In 1994 Ionescu and Toma gave a classification of the cases where $S$ is not of general type. Here we propose a conjecture concerning this remaining case, which is verified for $n\le 1100$ by a computer programm. | |
| dc.description | AMSTex v 1.1c, Hard copy (4 pages) is available on request to fujita@math.titech.ac.jp This replacement does not affect the contents. It may be a little easier to compile | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9507003 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9507003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147149 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60 (Primary) 14J40 (Secondary) | |
| dc.title | A note on scrolls of smallest embedded codimension | |
| dc.type | text |