Weak boundedness theorems for canonically fibered Gorenstein minimal threefolds
| dc.creator | Chen, Meng | |
| dc.date | 2002-06-10 | |
| dc.date | 2004-01-12 | |
| dc.date.accessioned | 2026-07-07T04:49:01Z | |
| dc.date.available | 2026-07-07T04:49:01Z | |
| dc.description | Let $X$ be a Gorenstein minimal projective 3-fold with at worst locally factorial terminal singularities. Suppose the canonical map is of fiber type. Denote by $F$ a smooth model of a generic irreducible component in fibers of the canonical map of $X$ and so $F$ is a smooth curve or a smooth surface. The main result of the paper is that there is a computable constant $K$ (independent of $X$) such that $g(F)\leq 647$ or $p_g(F)\leq 38$ whenever $p_g(X)\geq K$. The method heavily relies on both a Noether type of inequality and a Miyaoka-Yau inequality and that is the reason we only treat a Gorenstein object here. It is open whether the degree of the canonical map is universally bounded when the canonical map is generically finite. | |
| dc.description | AMS-Latex, 9 pages, Proc. AMS (to appear) | |
| dc.identifier | https://arxiv.org/abs/math/0206097 | |
| dc.identifier | http://arxiv.org/abs/math/0206097 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64268 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C20, 14E35 | |
| dc.title | Weak boundedness theorems for canonically fibered Gorenstein minimal threefolds | |
| dc.type | text |