Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of compact complex homogeneous spaces with vanishing first
  Chern class   We prove that any compact complex homogeneous space with vanishing first
Chern class after an appropriate deformation of the complex structure admits a
homogeneous Calabi-Yau with torsion structure, provided that it also has an
invariant volume form. A description of such spaces among the homogeneous
C-spaces is given as well as many examples and a classification in the
3-dimensional case. We calculate the cohomology ring of some of the examples
and show that in dimension 14 there are infinitely many simply-connected spaces
with the same Hodge numbers and torsional Chern classes admitting such
structure. We provide also an example solving the Strominger's equations in
heterotic string theory.

9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
1
The categories of this paper are: cs
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol