Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Degenerations of K3 Surfaces of Degree Two   We consider a semistable degeneration of K3 surfaces, equipped with an
effective divisor that defines a polarisation of degree two on a general fibre.
We show that the map to the relative log canonical model of the degeneration
maps every fibre to either a sextic hypersurface in P(1,1,1,3) or a complete
intersection of degree (2,6) in P(1,1,1,2,3). Furthermore, we find an explicit
description of the hypersurfaces and complete intersections that can arise,
thereby giving a full classification of the possible singular fibres.

34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin