Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite group subschemes of abelian varieties over finite fields   Let $A$ be an abelian variety over a finite field $k$. The $k$-isogeny class
of $A$ is uniquely determined by the Weil polynomial $f_A$. We assume that
$f_A$ is separable. For a given prime number $\ell\neq\mathrm{char}\, k$ we
give a classification of group schemes $B[\ell]$, where $B$ runs through the
isogeny class, in terms of certain Newton polygons associated to $f_A$. As an
application we classify zeta functions of Kummer surfaces over $k$.

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The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc