Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The space of Cohen-Macaulay curves   One can consider the Hilbert scheme as a natural compactification of the
space of smooth projective curves with fixed Hilbert polynomial. Here we
consider a different modular compactification, namely the functor CM
parameterizing curves together with a finite map to $\mathbb{P}^n$ that is
generically a closed immersion.
  We prove that CM is an algebraic space by contructing a scheme W and a
representable, surjective and smooth map W -> CM. Moreover, we show that CM
satisfies the valuative criterion for properness.

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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph