Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relative VGIT and an application to degenerations of Hilbert schemes   We generalize the classical semi-continuity theorem for GIT (semi)stable loci
under variations of linearizations to a relative situation of an equivariant
projective morphism from X to an affine base S. As an application to moduli
problems, we consider degenerations of Hilbert schemes, and give a conceptual
interpretation of the (semi)stable loci of the degeneration families
constructed by Gulbrandsen-Halle-Hulek.

21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex