On the fourth adjoint Contractions of divisorial and fiber types
| dc.creator | Nakamura, Shu Gilbert | |
| dc.date | 1999-01-08 | |
| dc.date | 1999-01-10 | |
| dc.date.accessioned | 2026-07-07T05:27:29Z | |
| dc.date.available | 2026-07-07T05:27:29Z | |
| dc.description | In this paper, we will list up all the cases for the ray contractions of divisorial and fiber types for smooth projective varieties of dimension five. These are obtained as a corollary from the lists of n-dimensional k-th adjoint contractions f: X -> Y of the same types for k=1,2,3 and 4 (n> or =5). The lists for k=1,2 and 3 have previously been obtained in [Na], Proposition 1.2 and Theorem 1.3. The main task will be to have such a list for k=4, where one case in the list fails to show that a positive-dimensional general fiber F of f is irreducible when n>5. This assertion will, however, be proven when n=5 with an essential aid of 3-dimensional Minimal Model Program in [Mo2]. (We do not show the existence of cases.) | |
| dc.description | 25 pages; presented at "A Conference on Algebraic Geometry to celebrate Robin Hartshorne's 60th birthday" at UC Berkeley on August 30, 1998 | |
| dc.identifier | https://arxiv.org/abs/math/9901033 | |
| dc.identifier | http://arxiv.org/abs/math/9901033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77939 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J10 | |
| dc.title | On the fourth adjoint Contractions of divisorial and fiber types | |
| dc.type | text |