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On The Rao Modules Of Minimal Curves In P-N

Roberta Di Gennaro

RICERCHE DI MATEMATICA（2009）

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Abstract
We study the Hartshorne-Rao modules M-C of minimal curves C in 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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Key words
Curve, Cohomology group, Gorenstein liaison, Resolutions
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