The sharp lower bound for the volume of 3-folds of general type with χ(\Co{X})=1
| dc.creator | Zhu, Lei | |
| dc.date | 2007-10-24 | |
| dc.date.accessioned | 2026-07-07T08:38:21Z | |
| dc.date.available | 2026-07-07T08:38:21Z | |
| 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 a canonical volume of $V$. The paper is devoted to proving the sharp lower bound $K^{3}\ge {1/420}$ which can be reached by an example: $X_{46}\subseteq \mathbb{P}(4,5,6,7,23)$. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/0710.4409 | |
| dc.identifier | http://arxiv.org/abs/0710.4409 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140700 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The sharp lower bound for the volume of 3-folds of general type with χ(\Co{X})=1 | |
| dc.type | text |