On projective manifolds admitting 3-gonal or 4-gonal curve sections
| Autor: | Sonia Brivio |
|---|---|
| Jazyk: | English<br />French<br />Italian |
| Rok vydání: | 1989 |
| Předmět: | |
| Zdroj: | Le Matematiche, Vol 44, Iss 2, Pp 163-172 (1989) |
| Druh dokumentu: | article |
| ISSN: | 0373-3505 2037-5298 |
| Popis: | Let X be a projective manifold, of dimension n≥3, and L a very ample line bundle on X. In this paper we investigate the pairs (X,L) with the following property: there exists a transversal intersection of n-1 members of |L| which is a smooth d-gonal curve (d=3,4). We prove, under suitable assumptions, that n≤4 or 5 (resp. if d=3 or 4) and (X,L) is a fibration over P1 with genera; fibre a rational cubic (resp. quartic) scroll. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|