Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on extended complex manifolds   We introduce a category of extended complex manifolds, and prove that the
functor describing deformations of a classical compact complex manifold $M$
within this category is versally representable by (an analytic subspace in)
$H^*(M,T_M)$. By restricting the associated versal family of extended complex
manifolds over $H^*(M,T_M)$ to the subspace $H^1(M,T_M)$ one gets a correct
limit to the classical picture.

34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph