Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Jumping Phenomenon of the Dimensions of Cohomology Groups of Tangent
  Sheaf   Let $X$ be a compact complex manifold, consider a small deformation $\phi:
\mathcal{X} \to B$ of $X$, the dimensions of the cohomology groups of tangent
sheaf $H^q(X_t,\mathcal{T}_{X_t})$ may vary under this deformation. This paper
will study such phenomenons by studying the obstructions to deform a class in
$H^q(X,\mathcal{T}_X)$ with the parameter $t$ and get the formula for the
obstructions.

22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph