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Detaching embedded points
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Detaching embedded points
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Paper
Detaching embedded points
2010
Overview
We show that if \\(D \\subset \\mathbb P^N\\) is obtained from a codimension two local complete intersection \\(C\\) by adding embedded points of multiplicity \\(\\leq 3\\), then \\(D\\) is a flat limit of \\(C\\) and isolated points. As applications, we determine the irreducible components of Hilbert schemes of space curves with high arithmetic genus, show the smoothness of the Hilbert component whose general member is a plane curve union a point in \\(\\mathbb P^3\\), and construct a Hilbert component whose general member has an embedded point.
Publisher
Cornell University Library, arXiv.org
Subject
