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arxiv: math/0202067 · v1 · submitted 2002-02-07 · 🧮 math.AG

Curves of small degree on cubic threefolds

classification 🧮 math.AG
keywords cubiccurvesdegreedescribedescriptionextensionforthcominggive
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We describe the Hilbert schemes parametrizing curves on a cubic threefold of degree at most 5. In a forthcoming paper, we use this description to give a new proof and extension of a theorem of Iliev, Markushevich and Tikhimirov.

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