Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation type of surfaces in $\mathbb{P}^3$   The goal of this article is to prove that every surface with a regular point
in the three-dimensional projective space of degree at least four, is of wild
representation type under the condition that either $X$ is integral or
$\mathrm{Pic}(X) \cong \langle \Oo_X(1) \rangle$; we construct families of
arbitrarily large dimension of indecomposable pairwise non-isomorphic aCM
vector bundles. On the other hand, we prove that every non-integral aCM scheme
of arbitrary dimension at least two, is also very wild in a sense that there
exist arbitrarily large dimensional families of pairwise non-isomorphic aCM
non-locally free sheaves of rank one.

27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin