Deformation theory of rigid-analytic spaces

Details Deformation theory of rigid-analytic spaces Deformation theory of rigid-analytic spaces

2006-01-24

arxiv.org/abs/math/0601588v2

Mathematics

Algebraic Geometry

24 pages

Scientific paper

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.

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