Kodaira-Iitaka Dimension on a Normal Prime Divisor
| dc.creator | Kopp, Travis | |
| dc.date | 2008-12-18 | |
| dc.date.accessioned | 2026-07-07T12:20:15Z | |
| dc.date.available | 2026-07-07T12:20:15Z | |
| dc.description | This paper was inspired by work by T. Peternell, M. Schneider and A.J. Sommese on the Kodaira dimension of subvarieties. In it I find a relation between the Kodaira-Iitaka dimension of a divisor on a normal variety and that of related divisors on an irreducible normal subvariety of codimension one. The main result may be stated in a simplified form as: For $X$ a complete normal variety, $Y \sub X$ an irreducible complete normal divisor and $\sL$ an invertible sheaf on $X$, there exist integers $n_1 > 0, n_2 \geq 0$ for which $κ(X,\sL) - 1 \leq κ(Y,\sL^{n_1}(-n_2Y)|_Y)$, where, if $Y$ is not a fixed component of large tensor powers of $\sL$, we may take $n_1 >> n_2$. This has implications for Kodaira-Iitaka dimension on a subvariety of any codimension. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/0812.3454 | |
| dc.identifier | http://arxiv.org/abs/0812.3454 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213014 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E05; 14J40; 14J70 | |
| dc.title | Kodaira-Iitaka Dimension on a Normal Prime Divisor | |
| dc.type | text |