Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Effective log Iitaka Fibration for 3-folds and 4-folds   We prove the effectiveness of the log Iitaka fibration in Kodaira codimension
two for varieties of dimension$\le 4$. In particular, we finish the proof of
effective log Iitaka fibration in dimension two. Also, we show that for the log
Iitaka fibration, if the fiber is of dimension two, the denominator of the
moduli part is bounded.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph