Effective log Iitaka fibrations for surfaces and threefolds
| dc.creator | Todorov, Gueorgui | |
| dc.date | 2008-05-22 | |
| dc.date.accessioned | 2026-07-07T09:40:25Z | |
| dc.date.available | 2026-07-07T09:40:25Z | |
| dc.description | We prove an analogue of Fujino and Mori's ``bounding the denominators'' in the log canonical bundle formula (see also Prokhorov and Shokurov) for Kawamata log terminal pairs of relative dimension one. As an application we prove that for a klt pair $(X,Δ)$ of Kodaira codimension one and dimension at most three such that the coefficients of $Δ$ are in a DCC set $\mathcal{A}$, there is a natural number $N$ that depends only on $\mathcal{A}$ for which the round down of $\N(K_X+Δ)$ induces the Iitaka fibration. We also prove a birational boundedness result for klt surfaces of general type. | |
| dc.identifier | https://arxiv.org/abs/0805.3494 | |
| dc.identifier | http://arxiv.org/abs/0805.3494 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161481 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E05; 14J30; 14J29 | |
| dc.title | Effective log Iitaka fibrations for surfaces and threefolds | |
| dc.type | text |