Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformations in the large of some complex manifolds, I   Main topic of the paper is the determination, for a compact complex manifold
$M$, of the class of manifolds $X$ which are deformation equivalent to it. If
$M$ is a complex torus, then also $X$ is so. After describing the structure of
principal holomorphic torus bundles over curves, a similar result (stability by
deformations in the large) is obtained also for the latter class of manifolds.
A section of the paper is devoted to the structure of principal holomorphic
torus bundles over tori, establishing the Riemann bilinear relations, and
exhibiting a so called Appell Humbert family, which could conjecturally give
all small deformations. Finally, a general definition is given of so called
Blanchard -Calabi manifolds, which, using an old construction of Sommese, show
that the family of complex structures on the differentiable manifold underlying
the product of a curve of genus $g\geq 2$ with a 2-dimensional complex torus
admits several distinct deformation types.

11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas