On a conjecture of Hacon and McKernan in dimension three
| dc.creator | Ringler, Adam | |
| dc.date | 2007-08-27 | |
| dc.date | 2007-09-13 | |
| dc.date.accessioned | 2026-07-07T08:28:56Z | |
| dc.date.available | 2026-07-07T08:28:56Z | |
| dc.description | We prove that there exists a universal constant $r_3$ such that if $X$ is a smooth projective threefold over $\mathbb{C}$ with non-negative Kodaira dimension, then the linear system $|r K_X|$ admits a fibration that is birational to the Iitaka fibration as soon as $r \geq r_3$ and sufficiently divisible. This gives an affirmative answer to a conjecture of Hacon and McKernan in the case of threefolds. Viehweg and Zhang have posted a stronger result along these lines using different methods. | |
| dc.description | 13 pages; Lemma 3.4 and 3.5 corrected; Other minor corrections fixed | |
| dc.identifier | https://arxiv.org/abs/0708.3662 | |
| dc.identifier | http://arxiv.org/abs/0708.3662 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137796 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On a conjecture of Hacon and McKernan in dimension three | |
| dc.type | text |