Kodaira energies of polarized log varieties
| dc.creator | Fujita, T. | |
| dc.date | 1993-05-07 | |
| dc.date.accessioned | 2026-07-07T09:05:50Z | |
| dc.date.available | 2026-07-07T09:05:50Z | |
| dc.description | Let L be an ample line bundle on a log variety (V, D) having only log terminal singularities.The Kodaira energy of such a triple (V, D, L) is defined as follows: κε=-Inf{t\in Q | K(V,D)+tL is big}. Here K(V,D)=K_V+D is the log canonical bundle of (V,D) and "big" means κ=dim V. We first show that the rationality of κε, when it is negative, follows from log Flip theorems (thus it is proved for dim V\le 3 at present). Second we consider the case in which D=0, dim V=3 and V has only terminal singularities. Let S be the set of all the possible values of Kodaira energies of such polarized log threefolds. We prove that S has no negative limit point. This result is closely related to the boundedness of Fano 3-folds. | |
| dc.description | 10 pages, AMSTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9305004 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9305004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149810 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Kodaira energies of polarized log varieties | |
| dc.type | text |