Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Leray-Hirsch theorem and blow-up formula for Dolbeault cohomology   We prove a theorem of Leray-Hirsch type and give an explicit blow-up formula
for Dolbeault cohomology on (\emph{not necessarily compact}) complex manifolds.
We give applications to strongly $q$-complete manifolds and the
$\partial\bar{\partial}$-lemma.

34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg