Effective behavior of multiple linear systems
| dc.creator | Tan, Sheng-Li | |
| dc.date | 2003-12-03 | |
| dc.date.accessioned | 2026-07-07T05:03:31Z | |
| dc.date.available | 2026-07-07T05:03:31Z | |
| dc.description | We give optimal effective bounds for some well-known theorems on complex algebraic surfaces, which are respectively due to Serre, Zariski (1962), Castelnuovo (1897), Artin (1962, 1966), Benveniste (1984), Cutkosky and Srinivas (1993). These theorems are about Riemann-Roch problem (on the behavior of the function dim |nD| of n), vanishing theorems, base-point freeness and k-very ampleness of the linear systems |nD| and |nA+L|, where D is effective, A is nef and big and L is arbitrary. As a consequence, we obtain an effective version of Matsusaka's big theorem, and we give also examples to show that our bound is the best possible one. | |
| dc.description | Latex, 17 pages. Asian Journal of Mathematics (to appear) | |
| dc.identifier | https://arxiv.org/abs/math/0312078 | |
| dc.identifier | http://arxiv.org/abs/math/0312078 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69449 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Effective behavior of multiple linear systems | |
| dc.type | text |