Inequalities of Noether type for 3-folds of general type
| dc.creator | Chen, Meng | |
| dc.date | 2001-10-01 | |
| dc.date | 2003-09-16 | |
| dc.date.accessioned | 2026-07-07T04:43:36Z | |
| dc.date.available | 2026-07-07T04:43:36Z | |
| dc.description | If $X$ is a smooth complex projective 3-fold with ample canonical divisor $K$, then the inequality $K^3\ge {2/3}(2p_g-7)$ holds, where $p_g$ denotes the geometric genus. This inequality is nearly sharp. We also give similar, but more complicated, inequalities for general minimal 3-folds of general type. (A noether type of inequality lies, by all means, on the other side of the Miyaoka-Yau inequality from the geographical point of view.) | |
| dc.description | 25 pages, the final version, to appear in "Journal of the Mathematical Society of Japan" | |
| dc.identifier | https://arxiv.org/abs/math/0110012 | |
| dc.identifier | http://arxiv.org/abs/math/0110012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62291 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E05 | |
| dc.title | Inequalities of Noether type for 3-folds of general type | |
| dc.type | text |