Minimal model theorem for toric divisors
| dc.creator | Ishii, Shihoko | |
| dc.date | 1997-05-29 | |
| dc.date.accessioned | 2026-07-07T09:07:19Z | |
| dc.date.available | 2026-07-07T09:07:19Z | |
| dc.description | Minimal model conjecture for a proper variety $X$ is that if $κ(X)\geq 0$, then $X$ has a minimal model with the abundance and if $κ=-\infty$, then $X$ is birationally equivalent to a variety $Y$ which has a fibration $Y \to Z$ with $-K_Y$ relatively ample. In this paper, we prove this conjecture for a $\D$-regular divisor on a proper toric variety by means of successive contractions of extremal rays and flips of ambient toric variety. Furthermore, for such a divisor $X$ with $κ(X)\geq 0$ we construct a projective minimal model with the abundance in a different way; by means of "puffing up" of the polytope, which gives an algorithm of a construction of a minimal model. | |
| dc.description | AMS-Latex, text 14 pages, figures 2 pages. The figures are not submitted because of a technical reason. A person who wants the figure pages is asked to contact to the Author. She will send a hard copy of the figures by postal mail | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9705026 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9705026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150329 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Minimal model theorem for toric divisors | |
| dc.type | text |