Projective 3-folds of general type with X=1
| dc.creator | Chen, Meng | |
| dc.creator | Zhu, Lei | |
| dc.date | 2006-11-29 | |
| dc.date | 2007-09-05 | |
| dc.date.accessioned | 2026-07-07T08:27:36Z | |
| dc.date.available | 2026-07-07T08:27:36Z | |
| dc.description | There are many examples of 3-folds of general type with $χ(\mathcal {O})=1$ found by Iano-Fletcher and Reid about twenty years ago. Iano-Fletcher has ever proved $P_{12}(X)\ge 1$ and $P_{24}(X)\ge 2$ for all minimal 3-folds $X$ of general type with $χ(\mathcal {O}_X)=1$. In this paper, we improve on Fletcher's method. Our main result is that $ϕ_m$ is birational onto its image for all $m\ge 54$. To prove this we establish a general theory on birationality for general 3-folds which improve known results. Also we will show $P_m\geq 1$ for all $m\geq 14$ and $P_{18}\geq 3$. | |
| dc.description | updated version, 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611898 | |
| dc.identifier | http://arxiv.org/abs/math/0611898 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137328 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Projective 3-folds of general type with X=1 | |
| dc.type | text |