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Deformation theory of rigid-analytic spaces

Isamu Iwanari
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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.

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Isamu Iwanari. 2006-02-05. Deformation theory of rigid-analytic spaces. https://arxiv.org/abs/math/0601588

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