Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elliptic fibrations and symplectic automorphisms on K3 surfaces   Nikulin has classified all finite abelian groups acting symplectically on a
K3 surface and he has shown that the induced action on the K3 lattice
$U^3\oplus E_8(-1)^2$ depends only on the group but not on the K3 surface. For
all the groups in the list of Nikulin we compute the invariant sublattice and
its orthogonal complement by using some special elliptic K3 surfaces.

5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn