Minimal threefolds with small slope and the Noether inequality for canonically polarized threefolds
| dc.creator | Chen, Meng | |
| dc.date | 2003-12-09 | |
| dc.date | 2004-08-18 | |
| dc.date.accessioned | 2026-07-07T05:03:41Z | |
| dc.date.available | 2026-07-07T05:03:41Z | |
| dc.description | 1) We give a 3-dimensional analogue of M. Noether's inequality for canonically polarized threefolds: $K^3\ge 2(2p_g-5)/3$. This inequality is sharp by known examples of M. Kobayashi. 2) Given a minimal 3-fold $X$ of general type with canonical singularities, if $K^3< (3p_g-5)/2$, we show that $X$ must be birationally fibred by curves of genus 2. | |
| dc.description | 20 pages, modified version, to appear in Math. Res. Lett | |
| dc.identifier | https://arxiv.org/abs/math/0312179 | |
| dc.identifier | http://arxiv.org/abs/math/0312179 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69522 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Minimal threefolds with small slope and the Noether inequality for canonically polarized threefolds | |
| dc.type | text |