Equivariant completions of toric contraction morphisms
| dc.creator | Fujino, Osamu | |
| dc.date | 2003-11-05 | |
| dc.date | 2005-03-30 | |
| dc.date.accessioned | 2026-07-07T05:02:39Z | |
| dc.date.available | 2026-07-07T05:02:39Z | |
| dc.description | We treat equivariant completions of toric contraction morphisms as an application of the toric Mori theory. For this purpose, we generalize the toric Mori theory for non-$\mathbb Q$-factorial toric varieties. So, our theory seems to be quite different from Reid's original combinatorial toric Mori theory. We also explain various examples of non-$\mathbb Q$-factorial contractions, which imply that the $\mathbb Q$-factoriality plays an important role in the Minimal Model Program. Thus, this paper completes the foundations of the toric Mori theory and show us a new aspect of the Minimal Model Program. | |
| dc.description | 21 pages; typos were corrected, new remarks were added | |
| dc.identifier | https://arxiv.org/abs/math/0311068 | |
| dc.identifier | http://arxiv.org/abs/math/0311068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69087 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14M25; 14E30 | |
| dc.title | Equivariant completions of toric contraction morphisms | |
| dc.type | text |