Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Quiver of Projectives in Hereditary Categories with Serre Duality   Let k be an algebraically closed field and A a k-linear hereditary category
satisfying Serre duality with no infinite radicals between the preprojective
objects. If A is generated by the preprojective objects, then we show that A is
derived equivalent to rep_k Q for a so called strongly locally finite quiver Q.
To this end, we introduce light cone distances and round trip distances on
quivers which will be used to investigate sections in stable translation
quivers of the form \mathbb{Z} Q.

4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc