Questions of Connectedness of the Hilbert Scheme of Curves in P 3

@inproceedings{Hartshorne2001QuestionsOC,
  title={Questions of Connectedness of the Hilbert Scheme of Curves in P 3},
  author={Robin Hartshorne},
  year={2001}
}
We review the present state of the problem, for each degree d and genus g , is the Hilbert scheme of locally Cohen–Macaulay curves in P 3 connected? 
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