A sharp lower bound for the canonical volume of 3-folds of general type
| dc.creator | Chen, Meng | |
| dc.date | 2004-07-23 | |
| dc.date | 2005-08-21 | |
| dc.date.accessioned | 2026-07-07T05:10:36Z | |
| dc.date.available | 2026-07-07T05:10:36Z | |
| dc.description | Let V be a smooth projective 3-fold of general type. Denote by $K^3$, a rational number, the self-intersection of the canonical sheaf of any minimal model of V. One defines $K^3$ as the canonical volume of $V$. Assume $p_g\ge 2$. We show that $K^3\ge {1/3}$, which is a sharp lower bound. Then we classify those V with small $K^3$ up to explicit tructure. We also give some new examples with $p_g=2$ which have maximal canonical stability index. Finally we give an application to certain algebraic 4-folds. | |
| dc.description | Final version, 22 pages, to appear in Math. Annalen | |
| dc.identifier | https://arxiv.org/abs/math/0407397 | |
| dc.identifier | http://arxiv.org/abs/math/0407397 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71979 | |
| dc.subject | Algebraic Geometry | |
| dc.title | A sharp lower bound for the canonical volume of 3-folds of general type | |
| dc.type | text |