Canonical Geometrically Ruled Surfaces
| dc.creator | Garcia, Luis Fuentes | |
| dc.creator | Perez, Manuel Pedreira | |
| dc.date | 2001-07-16 | |
| dc.date | 2002-04-08 | |
| dc.date.accessioned | 2026-07-07T04:42:37Z | |
| dc.date.available | 2026-07-07T04:42:37Z | |
| dc.description | We prove the existence of canonical scrolls; that is, scrolls playing the role of canonical curves. First of all, they provide the geometrical version of Riemann Roch Teorem: any special scroll is the projection of a canonical scroll and they allow to understand the classification of special scrolls in P3. Canonical scrolls correspond to the projective model of canonical geometrically ruled surfaces over a smooth curve. We also prove that the generic canonical scroll is projectively normal except in the hyperelliptic case and for very particular cases in the nonhyperelliptic situation. | |
| dc.description | Latex2.09; 32 pages | |
| dc.identifier | https://arxiv.org/abs/math/0107114 | |
| dc.identifier | http://arxiv.org/abs/math/0107114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61859 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary, 14J26; Secondary, 14H25, 14H45 | |
| dc.title | Canonical Geometrically Ruled Surfaces | |
| dc.type | text |