Log Smooth Deformation Theory
| dc.creator | Kato, Fumiharu | |
| dc.date | 1994-06-15 | |
| dc.date | 1994-09-06 | |
| dc.date.accessioned | 2026-07-07T08:57:52Z | |
| dc.date.available | 2026-07-07T08:57:52Z | |
| dc.description | This paper gives a foundation of log smooth deformation theory. We study the infinitesimal liftings of log smooth morphisms and show that the log smooth deformation functor has a representable hull. This deformation theory gives, for example, the following two types of deformations: (1) relative deformations of a certain kind of a pair of an algebraic variety and a divisor of it, and (2) global smoothings of normal crossing varieties. The former is a generalization of the relative deformation theory introduced by Makio, and the latter coincides with the logarithmic deformation theory introduced by Kawamata and Namikawa. | |
| dc.description | 29 pages, Latex version 2.09, Kyoto-Math 94-07 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9406004 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9406004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147101 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Log Smooth Deformation Theory | |
| dc.type | text |