Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic automorphisms and the Picard group of a K3 surface   We consider the symplectic action of a finite group G on a K3 surface. The
Picard group of the K3 surface has a primitive sublattice determined by G. We
show how to compute the rank and discriminant of this sublattice. We then
describe moduli spaces of K3 surfaces with symplectic G-action, extending
results of Nikulin in the abelian case. We use our moduli spaces to develop
techniques for classifying all possible symplectic actions of a group G.

25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess