Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the GIT Quotient Space of Quintic Surfaces   We describe the GIT compactification for the moduli space of smooth quintic
surfaces in projective space. In particular, we show that a normal quintic
surface with at worst an isolated double point or a minimal elliptic
singularity is stable. We also describe the boundary of the GIT quotient, and
we discuss the stability of the non-normal surfaces.

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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: cs