Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pluricanonical systems for 3-folds and 4-folds of general type   We explicitly find lower bounds on the volume of threefolds and fourfolds of
general type in order to have nonvanishing of pluricanonical systems and
birationality of pluricanonical maps. In the case of threefolds of large
volume, we also give necessary and sufficient conditions for the fourth
canonical map to be birational.

35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con