Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A GIT construction of degenerations of Hilbert schemes of points   We present a Geometric Invariant Theory (GIT) construction which allows us to
construct good projective degenerations of Hilbert schemes of points for simple
degenerations. A comparison with the construction of Li and Wu shows that our
GIT stack and the stack they construct are isomorphic, as are the associated
coarse moduli schemes. Our construction is sufficiently explicit to obtain good
control over the geometry of the singular fibres. We illustrate this by giving
a concrete description of degenerations of degree $n$ Hilbert schemes of a
simple degeneration with two components.

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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex