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• W2157671737 abstract "In this paper we determine the irreducible components of the Hilbert schemes H4,g of locally Cohen-Macaulay space curves of degree four and arbitrary arithmetic genus g: there are roughly ∼(g2/24) of them, most of which are families of multiplicity structures on lines. We give deformations which show that these Hilbert schemes are connected. For g≤−3 we exhibit a component that is disjoint from the component of extremal curves and use this to give a counterexample to a conjecture of Aït-Amrane and Perrin." @default.
• W2157671737 created "2016-06-24" @default.
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• W2157671737 date "2003-11-01" @default.
• W2157671737 modified "2023-09-25" @default.
• W2157671737 title "Hilbert Schemes of Degree Four Curves" @default.
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• W2157671737 doi "https://doi.org/10.1023/b:comp.0000005083.20724.cb" @default.
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