Curves of small degree on cubic threefolds

Joe Harris; Mike Roth; Jason Starr

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Curves of small degree on cubic threefolds

Joe Harris·Mike Roth·Jason Starr

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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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Joe Harris, Mike Roth, Jason Starr. 2002-02-07. Curves of small degree on cubic threefolds. https://arxiv.org/abs/math/0202067

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