Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry-of-numbers methods over global fields I: Prehomogeneous vector
  spaces   We develop geometry-of-numbers methods to count orbits in prehomogeneous
vector spaces having bounded invariants over any global field. As our primary
example, we apply these techniques to determine, for any base global field $F$
of characteristic not 2, the density of discriminants of field extensions of
degree at most 5 over $F$.

37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph