Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic fiber spaces over abelian varieties: around a recent theorem
  by Cao and Paun   We present a simplified proof for a recent theorem by Junyan Cao and Mihai
Paun, confirming a special case of Iitaka's conjecture: if $f \colon X\to Y$ is
an algebraic fiber space, and if the Albanese mapping of $Y$ is generically
finite over its image, then we have the inequality of Kodaira dimensions
$\kappa (X)\geq \kappa (Y)+\kappa (F)$, where $F$ denotes a general fiber of
$f$. We include a detailed survey of the main algebraic and analytic
techniques, especially the construction of singular hermitian metrics on
pushforwards of adjoint bundles (due to Berndtsson, Paun, and Takayama).

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn