Canonical stability of 3-folds of general type with $p_g\geq 3$
| dc.creator | Chen, Meng | |
| dc.date | 2002-11-16 | |
| dc.date | 2003-05-16 | |
| dc.date.accessioned | 2026-07-07T04:52:59Z | |
| dc.date.available | 2026-07-07T04:52:59Z | |
| dc.description | We study the canonical stability of a smooth projective 3-fold $V$ of general type. We prove that (1) $|5K_V|$ gives a birational map onto its image provided the geometric genus $p_g\geq 4$; (2) $|6K_V|$ gives a birational map provided $p_g=3$. Known examples show that both are optimal. This fact can be viewed as parallel to surface case, though people know very little on 3-folds of general type with $p_g\leq 1$. | |
| dc.description | Latex 14 pages, the final version, to appear in International Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0211251 | |
| dc.identifier | http://arxiv.org/abs/math/0211251 | |
| dc.identifier | International Journal of Math. 14(2003), 515-528 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65680 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Canonical stability of 3-folds of general type with $p_g\geq 3$ | |
| dc.type | text |