On endomorphisms of projective bundles
| dc.creator | Amerik, Ekaterina | |
| dc.date | 2002-09-18 | |
| dc.date.accessioned | 2026-07-07T04:50:57Z | |
| dc.date.available | 2026-07-07T04:50:57Z | |
| dc.description | Let $X$ be a complex projective bundle. We prove that $X$ admits an endomorphism of degree $>1$ and commuting with the projection to the base, if and only if $X$ trivializes after a finite covering. When $X$ is the projectivization of a vector bundle $E$ of rank 2, we prove that it has an endomorphism of degree $>1$ on a general fiber only if $E$ splits after a finite base change. | |
| dc.description | LaTeX 2.09, 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209220 | |
| dc.identifier | http://arxiv.org/abs/math/0209220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64979 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On endomorphisms of projective bundles | |
| dc.type | text |