Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on vanishing cycles with two strata   Suppose that the critical locus $\Sigma$ of a complex analytic function $f$
on affine space is, itself, a space with an isolated singular point at the
origin $\0$, and that the Milnor number of $f$ restricted to normal slices of
$\Sigma-\{\0\}$ is constant. Then, the general theory of perverse sheaves puts
severe restrictions on the cohomology of the Milnor fiber of $f$ at $\0$, and
even more surprising restrictions on the cohomology of the Milnor fiber of
generic hyperplane slices.

21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th