On the Rao modules of minimal curves in mathbbPN{mathbb{P}^N}

摘要

We study the Hartshorne-Rao modules M _C of minimal curves C in , 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.