Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group structures of elementary supersingular abelian varieties over
  finite fields   Let A be a supersingular abelian variety over a finite field k. We give an
approximate description of the structure of the group A(k) of rational points
of A over k in terms of the characteristic polynomial f of the Frobenius
endomorphism of A relative to k. If f=g^e for a monic irreducible polynomial g
and a positive integer e, we show that there is a group homomorphism A(k) -->
(Z/g(1)Z)^e whose kernel and cokernel are elementary abelian 2-groups. In
particular, this map is an isomorphism if the characteristic of k is 2 or A is
simple of dimension greater than 2; in the last case one has e=1 or 2, and A(k)
is isomorphic to (Z/g(1)Z)^e.

3
The categories of this paper are: physics
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph