A Note on Generic Projections
| dc.creator | Flenner, Hubert | |
| dc.creator | Manaresi, Mirella | |
| dc.date | 2002-10-10 | |
| dc.date.accessioned | 2026-07-07T04:51:49Z | |
| dc.date.available | 2026-07-07T04:51:49Z | |
| dc.description | Let $X \subseteq {\bf P}^N ={\bf P}^{2n}_K$ be a subvariety of dimension $n$ and $P \in {\bf P}^N$ a generic point. If the tangent variety Tan$ X$ is equal to ${\bf P}^N$ then for generic points $x$, $y$ of $X$ the projective tangent spaces $t_xX$ and $t_yX$ meet in one point $P=P(x,y)$. The main result of this paper is that the rational map $(x,y)\mapsto P(x,y)$ is dominant. In other words, a generic point $P$ is uniquely determined by the ramification locus $R(π_P)$ of the linear projection $π_P:X\to {\bf P}^{N-1}$. | |
| dc.identifier | https://arxiv.org/abs/math/0210156 | |
| dc.identifier | http://arxiv.org/abs/math/0210156 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65245 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary 14C17; Secondary 14E22 | |
| dc.title | A Note on Generic Projections | |
| dc.type | text |