Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex multiplication, rationality and mirror symmetry for abelian
  varieties   We show that complex multiplication on abelian varieties is equivalent to the
existence of a constant rational K\"ahler metric. We give a sufficient
condition for a mirror of an abelian variety of CM-type to be of CM-type as
well. We also study the relationship between complex multiplication and
rationality of a toroidal lattice vertex algebra.

27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics