Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite groups of symplectic automorphisms of K3 surfaces in positive
  characteristic   We show that Mukai's classification of finite groups which may act
symplectically on a complex K3 surface extends to positive characteristic $p$
under the assumptions that (i) the order of the group is coprime to $p$ and
(ii) either the surface or its quotient is not birationally isomorphic to a
supersingular K3 surface with Artin invariant 1. In the case without the
assumption (ii) we classify all possible new groups which may appear. We prove
that the assumption on the order of the group is always satisfied if $p > 11$
and if $p=2,3,5,11$ we give examples of K3 surfaces with finite symplectic
automorphism groups of order divisible by $p$ which are not contained in
Mukai's list.

36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc