Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstructing projective schemes from Serre subcategories   Given a positively graded commutative coherent ring A which is finitely
generated as an A_0-algebra, a bijection between the tensor Serre subcategories
of qgr A and the set of all subsets Y\subseteq Proj A of the form
Y=\bigcup_{i\in\Omega}Y_i with quasi-compact open complement Proj A\Y_i for all
i\in\Omega is established. To construct this correspondence, properties of the
Ziegler and Zariski topologies on the set of isomorphism classes of
indecomposable injective graded modules are used in an essential way. Also,
there is constructed an isomorphism of ringed spaces (Proj A,O_{Proj A}) -->
(Spec(qgr A),O_{qgr A}), where (Spec(qgr A),O_{qgr A}) is a ringed space
associated to the lattice L_{serre}(qgr A) of tensor Serre subcategories of qgr
A.

10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph