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Corpus ID: 119671647

The Hilbert schemes of locally Cohen-Macaulay curves in P^3 may after all be connected

@article{Lella2011TheHS,
title={The Hilbert schemes of locally Cohen-Macaulay curves in P^3 may after all be connected},
author={Paolo Lella and E. Schlesinger},
journal={arXiv: Algebraic Geometry},
year={2011}
}

Progress on the problem whether the Hilbert schemes of locally Cohen-Macaulay curves in projective 3 space are connected has been hampered by the lack of an answer to a question that was raised by Robin Hartshorne in his paper "On the connectedness of the Hilbert scheme of curves in projective 3 space" Comm. Algebra 28 (2000) and more recently in the open problems list of the 2010 AIM workshop Components of Hilbert Schemes available at this http URL does there exist a flat irreducible family of… CONTINUE READING