Lines on algebraic varieties
| dc.creator | Landsberg, J. M. | |
| dc.date | 2001-11-04 | |
| dc.date.accessioned | 2026-07-07T04:44:14Z | |
| dc.date.available | 2026-07-07T04:44:14Z | |
| dc.description | A variety $X$ is covered by lines if there exist a finite number of lines contained in $X$ passing through each general point. I prove two theorems. Theorem 1:Let $X^n\subset P^M$ be a variety covered by lines. Then there are at most $n!$ lines passing through a general point of $X$. Theorem 2:Let $X^n\subsetP^{n+1}$ be a hypersurface and let $x\in X$ be a general point. If the set of lines having contact to order $k$ with $X$ at $x$ is of dimension greater than expected, then the lines having contact to order $k$ are actually contained in $X$. | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/math/0111039 | |
| dc.identifier | http://arxiv.org/abs/math/0111039 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62559 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Lines on algebraic varieties | |
| dc.type | text |