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Dimension of the Hilbert scheme of curves in P3
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 118, Number 2, April 1996
- pp. 363-375
- 10.1353/ajm.1996.0019
- Article
- Additional Information
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Abstract
We show that the dimension of any component of the Hilbert scheme of space curves (of degree d) is bounded below by 4d. We find components where the general point represents a nonlocally Cohen-Macaulay curve which is not a disjoint union of a locally Cohen-Macaulay curve and a zero dimensional scheme.
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