Notes on very ample vector bundles on 3-folds
| dc.creator | Maeda, Hidetoshi | |
| dc.creator | Sommese, Andrew | |
| dc.date | 2005-01-26 | |
| dc.date.accessioned | 2026-07-07T05:16:25Z | |
| dc.date.available | 2026-07-07T05:16:25Z | |
| dc.description | Let $\Cal E$ be a very ample vector bundle of rank two on a smooth complex projective threefold $X$. An inequality about the third Segre class of $\Cal E$ is provided when $K_X+\det \Cal E$ is nef but not big, and when a suitable positive multiple of $K_X+\det \Cal E$ defines a morphism $X\to B$ with connected fibers onto a smooth projective curve $B$, where $K_X$ is the canonical bundle of $X$. As an application, the case where the genus of $B$ is positive and $\Cal E$ has a global section whose zero locus is a smooth hyperelliptic curve of genus $\geq 2$ is investigated, and our previous result is improved for threefolds. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0501471 | |
| dc.identifier | http://arxiv.org/abs/math/0501471 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73984 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60 | |
| dc.title | Notes on very ample vector bundles on 3-folds | |
| dc.type | text |