About the stability of the tangent bundle restricted to a curve
| dc.creator | Camere, Chiara | |
| dc.date | 2007-12-05 | |
| dc.date.accessioned | 2026-07-07T08:47:28Z | |
| dc.date.available | 2026-07-07T08:47:28Z | |
| dc.description | Let C be a smooth projective curve with genus g>1 and Clifford index c(C) and let L be a line bundle on C generated by its global sections. The morphism i:C -->P(H^0(L))=P is well-defined and i*T is the restriction to C of the tangent bundle T of the projective space P. Sharpening a theorem by Paranjape, we show that if deg L>2g-c(C)-1 then i*T is semi-stable, specifying when it is also stable. We then prove the existence on many curves of a line bundle L of degree 2g-c(C)-1 such that i*T is not semi-stable. Finally, we completely characterize the (semi-)stability of i*T when C is hyperelliptic. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/0712.0770 | |
| dc.identifier | http://arxiv.org/abs/0712.0770 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143611 | |
| dc.subject | Algebraic Geometry | |
| dc.title | About the stability of the tangent bundle restricted to a curve | |
| dc.type | text |