Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On $\mu_{n}$-actions on K3 surfaces in positive characteristic   In characteristic $0$, symplectic automorphisms of K3 surfaces (i.e.\
automorphisms preserving the global $2$-form) and non-symplectic ones behave
differently. In this paper we consider the actions of the group schemes
$\mu_{n}$ on K3 surfaces (possibly with rational double point singularities) in
characteristic $p$, where $n$ may be divisible by $p$. We introduce the notion
of symplecticness of such actions, and we show that symplectic
$\mu_{n}$-actions have similar properties, such as possible orders, fixed loci,
and quotients, to symplectic automorphisms of order $n$ in characteristic $0$.
We also study local $\mu_n$-actions on rational double points.

7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph