Abstract
We study the Hartshorne-Rao modules M C of minimal curves C in \({\mathbb{P}^N}\) , with N ≥ 4, lying in the same liaison class of curves on a smooth rational scroll surface. We get a free minimal resolution of M C for some of such curves and an upper bound for Betti numbers of M C , for any C.
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Communicated by F. Orecchia.
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Gennaro, R.D. On the Rao modules of minimal curves in \({\mathbb{P}^N}\) . Ricerche mat. 58, 249–262 (2009). https://doi.org/10.1007/s11587-009-0061-1
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DOI: https://doi.org/10.1007/s11587-009-0061-1