Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fibrations with constant scalar curvature Kahler metrics and the CM-line
  bundle   Let X --> B be a holomorphic submersion between compact Kahler manifolds of
any dimension, whose fibres and base have no non-zero holomorphic vector fields
and whose fibres all admit constant scalar curvature Kahler metrics. This
article gives a sufficient topological condition for the existence of a
constant scalar curvature Kahler metric on the total space X. The condition
involves the CM-line bundle--a certain natural line bundle on B--which is
proved to be nef. Knowing this, the condition is then implied by c_1(B)<0. This
provides infinitely many Kahler manifolds of constant scalar curvature in every
dimension, each with Kahler class arbitrarily far from the canonical class.

19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ