Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformation theory of rigid-analytic spaces   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.

25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org