On the stability of the tangent bundle of Fano manifolds
| dc.creator | Steffens, Andreas | |
| dc.date | 1994-07-10 | |
| dc.date.accessioned | 2026-07-07T09:06:07Z | |
| dc.date.available | 2026-07-07T09:06:07Z | |
| dc.description | By using the classification of Fano 3-folds we prove: Let $X$ be Fano 3-fold. Assume that the tangent bundle $T_X$ of $X$ is not stable (i.e. semi-stable or unstable). Then $b_2\geq 2$ and a relative tangent sheaf $T_{X/Y}$ of a contraction $f:X\longrightarrow Y$ of an extremal face on $X$ is a destabilising subsheaf of $T_X$. | |
| dc.description | 9 pages, LaTeX, to appear in Math. Ann | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9407004 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9407004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149903 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the stability of the tangent bundle of Fano manifolds | |
| dc.type | text |