Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On manifolds of small degree   Let $X\subset P^n$ be a complex projective manifold of degree $d$ and
arbitrary dimension. The main result of this paper gives a classification of
such manifolds (assumed moreover to be connected, non-degenerate and linearly
normal) in case $d\leq n$. As a by-product of the classification it follows
that these manifolds are either rational or Fano. In particular, they are
simply connected (hence regular) and of negative Kodaira dimension. Moreover,
easy examples show that $d\leq n$ is the best possible bound for such
properties to hold true. The proof of our theorem makes essential use of the
adjunction mapping and, in particular, the main result of 'On varieties whose
degree is small with respect to codimension' (Math.Ann. 271 1985) plays a
crucial role in the argument.

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph