Questions of Connectedness of the Hilbert Scheme of Curves in ${\mathbb P}^3$
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Questions of Connectedness of the Hilbert Scheme of Curves in ${\mathbb P}^3$

Abstract

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 ${\mathbb P}^3$ connected?

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