Weak semistable reduction in characteristic 0
| dc.creator | Abramovich, Dan | |
| dc.creator | Karu, Kalle | |
| dc.date | 1997-07-13 | |
| dc.date.accessioned | 2026-07-07T09:07:21Z | |
| dc.date.available | 2026-07-07T09:07:21Z | |
| dc.description | Let X->B be a morphism of varieties in characteristic zero. Semistable reduction has been proved for dim(B)=1 (Kempf, Knudsen, Mumford, Saint-Donat), dim(X)=dim(B)-1 (de Jong) and dim(X)=dim(B)+2 (Alexeev, Kollar, Shepherd-Barron). In this paper we consider the general case. First we define what we mean by a semistable morphism in terms of toroidal embeddings. Then we reduce the varieties to toroidal embeddings and solve a slightly weaker version of semistable reduction. We also state the full semistable reduction problem in terms of combinatorics of the associated polyhedral complexes. | |
| dc.description | AMS-LaTeX, 22 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9707012 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9707012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150341 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14M25, 14D05 | |
| dc.title | Weak semistable reduction in characteristic 0 | |
| dc.type | text |