Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orbifoldes, vari\'et\'es sp\'eciales et classification des vari\'et\'es
  K\" ahl\'eriennes compactes   This text is an introduction to math.AG/0110051 (to appear in Ann. Inst.
Fourier), and describes a canonical decomposition of compact K\"ahler manifolds
$X$ first by means of their "core", the unique fibration on $X$ with fibres
special, and orbifold base of general type. Being special means that there does
not exist a fibration onto an orbifold of general type. The core is next
decomposed into a tower of fibrations with all orbifold fibres either with
$\kappa=0$, or rationally generated (a weak version of rationally connected).

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The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
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The categories of this paper are: funct-an