Basic deformation theory of smooth formal schemes
Algebraic Geometry
2008-01-21 v1
Abstract
We provide the main results of a deformation theory of smooth formal schemes. First we deal with the case of global lifting of smooth morphisms. We prove that the obstruction to the existence of a global lifting lies in a Ext^1 group. Then we study uniqueness and existence of lifting of smooth formal schemes. The set of isomorphism classes of smooth liftings is classified by a Ext^1 group and there exists an obstruction in a Ext^2 group whose vanishing characterizes the existence of smooth liftings.
Cite
@article{arxiv.0801.2846,
title = {Basic deformation theory of smooth formal schemes},
author = {Marta Perez},
journal= {arXiv preprint arXiv:0801.2846},
year = {2008}
}
Comments
14 pages