Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connexions affines et projectives sur les surfaces complexes compactes   We prove that holomorphic normal projective connections on compact complex
surfaces are flat.
  We show that a holomorphic torsion-free affine connection $\nabla$ on a
compact complex surface is locally modelled on a translations-invariant affine
connection on $\C^2$, except if $\nabla$ is a generic connection on a principal
elliptic bundle over a Riemann surface of genus $g \geq 2$, with odd first
Betti number. In the last case, the local Killing Lie algebra is of dimension
one, generated by the fundamental vector field of the principal fibration.

36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph