Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariance for multiples of the twisted canonical bundle   In this paper, we show an extension type theorem for twisted pluricanonical
sections on a family of smooth projective manifolds (the twisting line bundle
being pseudo-effective and having a prescribed multiplier ideal on the central
fiber).

30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs