Curves of small degree on cubic threefolds
Joe Harris, Mike Roth, Jason Starr
math.AGarXiv:math/0202067
Abstract
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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