Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The correspondence formula of Dolbeault complex on pair deformation   Given a holomorphic family of pairs $\{(X_t,E_t)\}$, where each $E_t$ is
holomorphic vector bundle over compact complex manifold $X_t$. For small enough
$t$, we get a correspondence between the Dolbeault complex of $E_t$-valued
$(p,q)$-forms on $X_t$ and the one of $E_0$-valued $(p,q)$-forms on $X_0$.

20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph