Deformation theory of rigid-analytic spaces
Algebraic Geometry
2007-05-23 v2 Number Theory
Abstract
In this paper, we study a deformation theory of rigid analytic spaces. We develop a theory of cotangent complexes for rigid geometry which fits in with our deformations. We then use the complexes to give a cohomological description of infinitesimal deformation of rigid analytic spaces. Moreover, we will prove an existence of a formal versal family for a proper rigid analytic space.
Cite
@article{arxiv.math/0601588,
title = {Deformation theory of rigid-analytic spaces},
author = {Isamu Iwanari},
journal= {arXiv preprint arXiv:math/0601588},
year = {2007}
}
Comments
24 pages